Title: Point Lines and Planes
Course: quiz duplicate error

Q: Refer to Figure 2.

[Image]
Figure 2

Name three collinear points.
- B, L, D (Collinear points are points on the same line.)
- C, L, B (Collinear points are points on the same line.)
- K, A, C (Collinear points are points on the same line.)
- D, F, G (Collinear points are points on the same line.)
A: D, F, G

Q: Refer to Figure 1.

[Image]
Figure 1

Name a point NOT contained in [Image] or [Image].
- K (The points not contained in [Image] or [Image] are J, B, and H. K is the plane.)
- A (The points not contained in [Image] or [Image] are J, B, and H. K is the plane.)
- H (The points not contained in [Image] or [Image] are J, B, and H. K is the plane.)
- D (The points not contained in [Image] or [Image] are J, B, and H. K is the plane.)
A: H

Q: Refer to Figure 1.

[Image]
Figure 1

Does line p intersect line m or line n? Explain.
- Yes, it intersects both m and n when all three are extended. (The lines shown here can be extended in the directions of the arrows. Because of this line p does intersect both m and n.)
- No, the lines do not meet in this diagram. (The lines shown here can be extended in the directions of the arrows. Because of this line p does intersect both m and n.)
- Yes, it intersects line m when both are extended. (The lines shown here can be extended in the directions of the arrows. Because of this line p does intersect both m and n.)
- Yes, it intersects line n when both are extended. (The lines shown here can be extended in the directions of the arrows. Because of this line p does intersect both m and n.)
A: Yes, it intersects both m and n when all three are extended.

Q: Name three points that are collinear.
[Image]
- M, L, R (Collinear points are points on the same line.)
- L, P, T (Collinear points are points on the same line.)
- Q, L, M (Collinear points are points on the same line.)
- R, S, K (Collinear points are points on the same line.)
A: M, L, R

Q: Refer to Figure 1.

[Image]
Figure 1

What is another name for line n?
- line JB (A line is made up of points with an arrowhead at each end. A, D, and C are points on line n. A line is represented by ‘line DC’ or [Image] but not just DC.)
- [Image] (A line is made up of points with an arrowhead at each end. A, D, and C are points on line n. A line is represented by ‘line DC’ or [Image] but not just DC.)
- [Image] (A line is made up of points with an arrowhead at each end. A, D, and C are points on line n. A line is represented by ‘line DC’ or [Image] but not just DC.)
- AC (A line is made up of points with an arrowhead at each end. A, D, and C are points on line n. A line is represented by ‘line DC’ or [Image] but not just DC.)
A: [Image]

Q: Name three points that are collinear.
[Image]
- B, G, F (Collinear points are points on the same line.)
- C, D, H (Collinear points are points on the same line.)
- J, G, F (Collinear points are points on the same line.)
- J, D, G (Collinear points are points on the same line.)
A: B, G, F

Q: Refer to Figure 1.

[Image]
Figure 1

Name a line that contains point A.
- [Image] (Line m contains points J, D, and B. Line p contains points G and F. Only line [Image] contains point A.)
- m (Line m contains points J, D, and B. Line p contains points G and F. Only line [Image] contains point A.)
- K (Line m contains points J, D, and B. Line p contains points G and F. Only line [Image] contains point A.)
- DB (Line m contains points J, D, and B. Line p contains points G and F. Only line [Image] contains point A.)
A: [Image]

Q: Refer to Figure 1.

[Image]
Figure 1

What is another name for line m?
- line JG (A line is made up of points and has no thickness or width. It is drawn with an arrowhead at each end. J, D, and B are points on line m. A line is represented by ‘line JD’ or [Image] but not just JD.)
- [Image] (A line is made up of points and has no thickness or width. It is drawn with an arrowhead at each end. J, D, and B are points on line m. A line is represented by ‘line JD’ or [Image] but not just JD.)
- DB (A line is made up of points and has no thickness or width. It is drawn with an arrowhead at each end. J, D, and B are points on line m. A line is represented by ‘line JD’ or [Image] but not just JD.)
- line JB (A line is made up of points and has no thickness or width. It is drawn with an arrowhead at each end. J, D, and B are points on line m. A line is represented by ‘line JD’ or [Image] but not just JD.)
A: line JB

Q: Refer to Figure 2.

[Image]
Figure 2

Name a point that is NOT coplanar with G, A, and B.
- K (Coplanar points are points that lie on the same plane.)
- D (Coplanar points are points that lie on the same plane.)
- C (Coplanar points are points that lie on the same plane.)
- F (Coplanar points are points that lie on the same plane.)
A: C

Q: Are points A, C, D and F coplanar? Explain.
[Image]
- Yes; they all lie on plane P. (Points that lie on the same plane are said to be coplanar. Three points are always coplanar but if the fourth point is not on the same plane with the first three, they are not all coplanar.)
- No; they are not on the same line. (Points that lie on the same plane are said to be coplanar. Three points are always coplanar but if the fourth point is not on the same plane with the first three, they are not all coplanar.)
- Yes; they all lie on the same face of the pyramid. (Points that lie on the same plane are said to be coplanar. Three points are always coplanar but if the fourth point is not on the same plane with the first three, they are not all coplanar.)
- No; three lie on the same face of the pyramid and the fourth does not. (Points that lie on the same plane are said to be coplanar. Three points are always coplanar but if the fourth point is not on the same plane with the first three, they are not all coplanar.)
A: No; three lie on the same face of the pyramid and the fourth does not.

Q: Refer to Figure 1.

[Image]
Figure 1

Name a line that contains point J.
- [Image] (Line n contains points A, D, and C. Line p contains points G and F. Only line [Image] contains point J.)
- [Image] (Line n contains points A, D, and C. Line p contains points G and F. Only line [Image] contains point J.)
- [Image] (Line n contains points A, D, and C. Line p contains points G and F. Only line [Image] contains point J.)
- [Image] (Line n contains points A, D, and C. Line p contains points G and F. Only line [Image] contains point J.)
A: [Image]

Q: Refer to Figure 1.

[Image]
Figure 1

Which is these is NOT a way to refer to line BD?
- [Image] (The proper way to refer to a line is any 2 points on the line with an arrow above them or “line such-and-such”, where “such-and-such” is any 2 points on the line. Using three letters is not correct.)
- m (The proper way to refer to a line is any 2 points on the line with an arrow above them or “line such-and-such”, where “such-and-such” is any 2 points on the line. Using three letters is not correct.)
- [Image] (The proper way to refer to a line is any 2 points on the line with an arrow above them or “line such-and-such”, where “such-and-such” is any 2 points on the line. Using three letters is not correct.)
- line JD (The proper way to refer to a line is any 2 points on the line with an arrow above them or “line such-and-such”, where “such-and-such” is any 2 points on the line. Using three letters is not correct.)
A: [Image]

Q: Refer to Figure 1.

[Image]
Figure 1

Name the intersection of lines m and n.
- K (Two lines intersect in a point. In this case that is point D.)
- [Image] (Two lines intersect in a point. In this case that is point D.)
- B (Two lines intersect in a point. In this case that is point D.)
- D (Two lines intersect in a point. In this case that is point D.)
A: D

Q: Refer to Figure 1.

[Image]
Figure 1

Name the plane containing lines m and p.
- n (A plane is a flat surface made up of points. A plane is named by a capital script letter or by the letters naming three noncollinear points.)
- GFC (A plane is a flat surface made up of points. A plane is named by a capital script letter or by the letters naming three noncollinear points.)
- H (A plane is a flat surface made up of points. A plane is named by a capital script letter or by the letters naming three noncollinear points.)
- JDB (A plane is a flat surface made up of points. A plane is named by a capital script letter or by the letters naming three noncollinear points.)
A: GFC

Q: Refer to Figure 2.

[Image]
Figure 2

Where could you add point M on plane LBD so that D, B, and M would be collinear?
- anywhere on [Image] (Collinear points are points on the same line.)
- anywhere on [Image] (Collinear points are points on the same line.)
- anywhere on [Image] (Collinear points are points on the same line.)
- anywhere on [Image] (Collinear points are points on the same line.)
A: anywhere on [Image]

Q: Refer to Figure 2.

[Image]
Figure 2

How many planes are shown in the figure?
- 4 (Since the ends are triangles, there are three sides plus two ends.)
- 3 (Since the ends are triangles, there are three sides plus two ends.)
- 5 (Since the ends are triangles, there are three sides plus two ends.)
- 6 (Since the ends are triangles, there are three sides plus two ends.)
A: 5

Q: Refer to Figure 2.

[Image]
Figure 2

Name four points that are coplanar.
- G, D, L, B (Coplanar points are points that lie on the same plane.)
- C, K, A, G (Coplanar points are points that lie on the same plane.)
- L, A, C, G (Coplanar points are points that lie on the same plane.)
- K, B, D, L (Coplanar points are points that lie on the same plane.)
A: C, K, A, G

Q: Lines a, b, and c are coplanar. Lines a and b intersect. Line c intersects only with line b. Draw and label a figure for the relationship.
- [Image] (Points that lie on the same plane are said to be coplanar. Lines are made up of points. If line c intersects only with line b then lines a and c must be parallel.)
- [Image] (Points that lie on the same plane are said to be coplanar. Lines are made up of points. If line c intersects only with line b then lines a and c must be parallel.)
- [Image] (Points that lie on the same plane are said to be coplanar. Lines are made up of points. If line c intersects only with line b then lines a and c must be parallel.)
- [Image] (Points that lie on the same plane are said to be coplanar. Lines are made up of points. If line c intersects only with line b then lines a and c must be parallel.)
A: [Image]

Q: Refer to Figure 1.

[Image]
Figure 1

Name a point NOT contained in lines m, n, or p.
- A (The only point not contained in any line is H. K is the plane.)
- K (The only point not contained in any line is H. K is the plane.)
- H (The only point not contained in any line is H. K is the plane.)
- D (The only point not contained in any line is H. K is the plane.)
A: H

Q: Refer to Figure 2.

[Image]
Figure 2

How many planes contain points B, C, and A?
- 1 (B, C, and A make up the back face of the prism.)
- 2 (B, C, and A make up the back face of the prism.)
- 0 (B, C, and A make up the back face of the prism.)
- 3 (B, C, and A make up the back face of the prism.)
A: 1

Q: Find the value of the variable and GH if H is between G and I.
[Image]
- b = 1.2, GH = 6.8 (Solve for b first using HI’s two values. [Image]. Solve for GH.)
- b = 1.22, GH = 7.11 (Solve for b first using HI’s two values. [Image]. Solve for GH.)
- b = 3, GH = 9 (Solve for b first using HI’s two values. [Image]. Solve for GH.)
- b = 3, GH = 16 (Solve for b first using HI’s two values. [Image]. Solve for GH.)
A: b = 3, GH = 9

Q: Measure the angle and classify it as right, acute, or obtuse.
[Image]

[Image]
- 84, acute (Use a protractor. Align the 0 on either side of the scale with one side of the angle. Place the center point of the protractor on the vertex. Find where the other side of the angle intersects the scale. Read the scale on which you placed your 0.)
- 79, obtuse (Use a protractor. Align the 0 on either side of the scale with one side of the angle. Place the center point of the protractor on the vertex. Find where the other side of the angle intersects the scale. Read the scale on which you placed your 0.)
- 96, obtuse (Use a protractor. Align the 0 on either side of the scale with one side of the angle. Place the center point of the protractor on the vertex. Find where the other side of the angle intersects the scale. Read the scale on which you placed your 0.)
- 101, acute (Use a protractor. Align the 0 on either side of the scale with one side of the angle. Place the center point of the protractor on the vertex. Find where the other side of the angle intersects the scale. Read the scale on which you placed your 0.)
A: 84, acute

Q: Measure the angle and classify it as right, acute, or obtuse.
[Image]

[Image]
- 114, acute (Use a protractor. Align the 0 on either side of the scale with one side of the angle. Place the center point of the protractor on the vertex. Find where the other side of the angle intersects the scale. Read the scale on which you placed your 0.)
- 66, obtuse (Use a protractor. Align the 0 on either side of the scale with one side of the angle. Place the center point of the protractor on the vertex. Find where the other side of the angle intersects the scale. Read the scale on which you placed your 0.)
- 109, obtuse (Use a protractor. Align the 0 on either side of the scale with one side of the angle. Place the center point of the protractor on the vertex. Find where the other side of the angle intersects the scale. Read the scale on which you placed your 0.)
- 71, acute (Use a protractor. Align the 0 on either side of the scale with one side of the angle. Place the center point of the protractor on the vertex. Find where the other side of the angle intersects the scale. Read the scale on which you placed your 0.)
A: 71, acute

Q: In the figure, [Image] and [Image] are opposite rays. [Image] and [Image] bisects [Image].
[Image]

If [Image] and [Image], what is [Image]?
- 26.67 ([Image])
- 13 ([Image])
- 41 ([Image])
- 15.67 ([Image])
A: 41

Q: In the figure, [Image] and [Image] are opposite rays. [Image] and [Image] bisects [Image].
[Image]

If [Image] and [Image], what is [Image]?
- 153 ([Image])
- 33 ([Image])
- 27 ([Image])
- 12 ([Image])
A: 27

Q: In the figure, [Image] and [Image] are opposite rays. [Image] and [Image] bisects [Image].
[Image]

If [Image] and [Image], what is [Image]?
- 137 ([Image])
- 12 ([Image])
- 4.2 ([Image])
- 43 ([Image])
A: 43

Q: Refer to Figure 2.

[Image]
Figure 2

Which plane(s) contain point K?
- plane AGC (In this diagram two planes contain point K—the front end of the prism and the top face of the prism.)
- plane ADB, plane ALC (In this diagram two planes contain point K—the front end of the prism and the top face of the prism.)
- plane CAG, plane ABD (In this diagram two planes contain point K—the front end of the prism and the top face of the prism.)
- plane DBA (In this diagram two planes contain point K—the front end of the prism and the top face of the prism.)
A: plane CAG, plane ABD

Q: In the figure, [Image] and [Image] are opposite rays. [Image] and [Image] bisects [Image].
[Image]

Which is NOT true about [Image]?
- [Image] is acute. ([Image] so it is obtuse.)
- [Image] ([Image] so it is obtuse.)
- Point M lies in the interior of [Image]. ([Image] so it is obtuse.)
- It is an angle bisector. ([Image] so it is obtuse.)
A: [Image] is acute.

Q: In the figure, [Image] and [Image] are opposite rays. [Image] and [Image] bisects [Image].
[Image]

If [Image] and [Image], what is [Image]?
- 108 ([Image])
- 14 ([Image])
- 54 ([Image])
- 72 ([Image])
A: 108

Q: Refer to Figure 2.

[Image]
Figure 2

Name the intersection of plane KCG and a plane that contains points L and D.
- plane DGC (The intersection of two planes is a line.)
- C (The intersection of two planes is a line.)
- line LC (The intersection of two planes is a line.)
- line CG (The intersection of two planes is a line.)
A: line CG

Q: In the figure, [Image] and [Image] are opposite rays. [Image] and [Image] bisects [Image].
[Image]

If [Image] is a right angle and [Image], what is t?
- 21.25 ([Image])
- 10 ([Image])
- 43.75 ([Image])
- 45 ([Image])
A: 10

Q: Find the coordinates of the midpoint of a segment having the given endpoints.

[Image]
- [Image] (The formula for the midpoint between two points [Image] is [Image].)
- [Image] (The formula for the midpoint between two points [Image] is [Image].)
- [Image] (The formula for the midpoint between two points [Image] is [Image].)
- [Image] (The formula for the midpoint between two points [Image] is [Image].)
A: [Image]

Q: In the figure, [Image] bisects [Image].
[Image]

If [Image] and [Image], find w.
- 7 (Since [Image] bisects [Image], [Image] and [Image]. Solve for w.)
- 14.43 (Since [Image] bisects [Image], [Image] and [Image]. Solve for w.)
- 52 (Since [Image] bisects [Image], [Image] and [Image]. Solve for w.)
- 3.5 (Since [Image] bisects [Image], [Image] and [Image]. Solve for w.)
A: 7

Q: Use the Distance Formula to find the distance between each pair of points.

[Image]
- [Image] (The Distance Formula is [Image].)
- [Image] (The Distance Formula is [Image].)
- 6 (The Distance Formula is [Image].)
- 4 (The Distance Formula is [Image].)
A: [Image]

Q: Find the precision for the measurement. Explain its meaning.

5.25 meters
- 0.5 cm; 520 to 530 cm (100 cm = 1 meter. The precision is half of the last digit place. Then subtract and add that value to the number to get the meaning.)
- 0.5 cm; 524.5 to 525.5 cm (100 cm = 1 meter. The precision is half of the last digit place. Then subtract and add that value to the number to get the meaning.)
- 5 cm; 524.5 to 525.5 cm (100 cm = 1 meter. The precision is half of the last digit place. Then subtract and add that value to the number to get the meaning.)
- 5 cm; 520 to 530 cm (100 cm = 1 meter. The precision is half of the last digit place. Then subtract and add that value to the number to get the meaning.)
A: 0.5 cm; 524.5 to 525.5 cm

Q: Measure the angle.

[Image]
- 40 (Use a protractor. Align the 0 on either side of the scale with one side of the angle. Place the center point of the protractor on the vertex. Find where the other side of the angle intersects the scale. Read the scale on which you placed your 0.)
- 140 (Use a protractor. Align the 0 on either side of the scale with one side of the angle. Place the center point of the protractor on the vertex. Find where the other side of the angle intersects the scale. Read the scale on which you placed your 0.)
- 29 (Use a protractor. Align the 0 on either side of the scale with one side of the angle. Place the center point of the protractor on the vertex. Find where the other side of the angle intersects the scale. Read the scale on which you placed your 0.)
- 151 (Use a protractor. Align the 0 on either side of the scale with one side of the angle. Place the center point of the protractor on the vertex. Find where the other side of the angle intersects the scale. Read the scale on which you placed your 0.)
A: 140

Q: Use the number line to find the measure.
[Image]

RK
- 2 (The distance between two points a and b is [Image] or [Image].)
- 5 (The distance between two points a and b is [Image] or [Image].)
- 7 (The distance between two points a and b is [Image] or [Image].)
- 10 (The distance between two points a and b is [Image] or [Image].)
A: 10

Q: In the figure, [Image] and [Image] are opposite rays. [Image] and [Image] bisects [Image].
[Image]

What bisects [Image]?
- P (A ray bisects an angle. K is the endpoint of that ray, not P. The answer is [Image].)
- [Image] (A ray bisects an angle. K is the endpoint of that ray, not P. The answer is [Image].)
- [Image] (A ray bisects an angle. K is the endpoint of that ray, not P. The answer is [Image].)
- [Image] (A ray bisects an angle. K is the endpoint of that ray, not P. The answer is [Image].)
A: [Image]

Q: Find the measurement of the segment.

[Image] mm, [Image] mm
[Image]
PS = ?
- 32.7 mm (PS has the same length as PR and RS combined.)
- 5.1 mm (PS has the same length as PR and RS combined.)
- 32.5 mm (PS has the same length as PR and RS combined.)
- 32.4 mm (PS has the same length as PR and RS combined.)
A: 32.5 mm

Q: In the figure, [Image] and [Image] are opposite rays. [Image] and [Image] bisects [Image].
[Image]

If [Image] and [Image], what is [Image]?
- 5.57 ([Image])
- 41 ([Image])
- 12 ([Image])
- 21.71 ([Image])
A: 41

Q: Refer to Figure 2.

[Image]
Figure 2

How many planes contain points B, L, F, and D?
- 1 (B, L, and D lie in the back face of the prism. Point F is not in the same plane with them. L, D, and F lie in the bottom face of the prism. Point B is not in the same plane with them.)
- 0 (B, L, and D lie in the back face of the prism. Point F is not in the same plane with them. L, D, and F lie in the bottom face of the prism. Point B is not in the same plane with them.)
- 3 (B, L, and D lie in the back face of the prism. Point F is not in the same plane with them. L, D, and F lie in the bottom face of the prism. Point B is not in the same plane with them.)
- 2 (B, L, and D lie in the back face of the prism. Point F is not in the same plane with them. L, D, and F lie in the bottom face of the prism. Point B is not in the same plane with them.)
A: 0

Q: Refer to Figure 2.

[Image]
Figure 2

Name an intersection of plane GFL and the plane that contains points A and C.
- line LC (The intersection of two planes is a line.)
- C (The intersection of two planes is a line.)
- line AC (The intersection of two planes is a line.)
- plane CAB (The intersection of two planes is a line.)
A: line LC

Q: Use the Distance Formula to find the distance between each pair of points.

[Image]
- [Image] (The Distance Formula is [Image].)
- 4 (The Distance Formula is [Image].)
- [Image] (The Distance Formula is [Image].)
- 6 (The Distance Formula is [Image].)
A: [Image]

Q: Find the precision for the measurement. Explain its meaning.

[Image] in.
- [Image] in.; [Image] to [Image] in. (The precision is half of the last digit place. Then subtract and add that value to the number to get the meaning.)
- [Image] in.; [Image] to [Image] in. (The precision is half of the last digit place. Then subtract and add that value to the number to get the meaning.)
- [Image] in.; [Image] to [Image] in. (The precision is half of the last digit place. Then subtract and add that value to the number to get the meaning.)
- [Image] in.; [Image] to [Image] in. (The precision is half of the last digit place. Then subtract and add that value to the number to get the meaning.)
A: [Image] in.; [Image] to [Image] in.

Q: Use the number line to find the measure.
[Image]

PH
- 4.5 (The distance between two points a and b is [Image] or [Image].)
- 8 (The distance between two points a and b is [Image] or [Image].)
- 9 (The distance between two points a and b is [Image] or [Image].)
- –0.5 (The distance between two points a and b is [Image] or [Image].)
A: 9

Q: Find the measurement of the segment.

[Image] in., [Image] in.
[Image]
TV = ?
- 1.4 in. (TV is the length of QV minus the length of QT.)
- 2.3 in. (TV is the length of QV minus the length of QT.)
- 1.7 in. (TV is the length of QV minus the length of QT.)
- 1.5 in. (TV is the length of QV minus the length of QT.)
A: 1.5 in.

Q: Measure the angle.

[Image]
- 61 (Use a protractor. Align the 0 on either side of the scale with one side of the angle. Place the center point of the protractor on the vertex. Find where the other side of the angle intersects the scale. Read the scale on which you placed your 0.)
- 119 (Use a protractor. Align the 0 on either side of the scale with one side of the angle. Place the center point of the protractor on the vertex. Find where the other side of the angle intersects the scale. Read the scale on which you placed your 0.)
- 72 (Use a protractor. Align the 0 on either side of the scale with one side of the angle. Place the center point of the protractor on the vertex. Find where the other side of the angle intersects the scale. Read the scale on which you placed your 0.)
- 108 (Use a protractor. Align the 0 on either side of the scale with one side of the angle. Place the center point of the protractor on the vertex. Find where the other side of the angle intersects the scale. Read the scale on which you placed your 0.)
A: 72

Q: In the figure, [Image] bisects [Image].
[Image]

If [Image] and [Image], find x.
- 33 (Since [Image] bisects [Image], [Image] and [Image]. Solve for v, then substitute into either side of the equation to find x.)
- 58 (Since [Image] bisects [Image], [Image] and [Image]. Solve for v, then substitute into either side of the equation to find x.)
- 11 (Since [Image] bisects [Image], [Image] and [Image]. Solve for v, then substitute into either side of the equation to find x.)
- 29 (Since [Image] bisects [Image], [Image] and [Image]. Solve for v, then substitute into either side of the equation to find x.)
A: 29

Q: Find the value of the variable and LN if M is between L and N.
[Image]
- a = 3.73, LN = 29.87 (Solve for a first using LM’s two values. [Image]. Solve for LN.)
- a = 7, LN = 105 (Solve for a first using LM’s two values. [Image]. Solve for LN.)
- a = 8, LN = 120 (Solve for a first using LM’s two values. [Image]. Solve for LN.)
- a = 7, LN = 49 (Solve for a first using LM’s two values. [Image]. Solve for LN.)
A: a = 7, LN = 105

Q: Name each polygon by its number of sides.

[Image]
- octagon (Count the number of sides to determine the name of the polygon.)
- hexagon (Count the number of sides to determine the name of the polygon.)
- pentagon (Count the number of sides to determine the name of the polygon.)
- heptagon (Count the number of sides to determine the name of the polygon.)
A: pentagon

Q: The measures of two complementary angles are [Image] and [Image]. Find the measures of the angles.
- 117, 63 (Complementary angles are two angles whose measures have a sum of 90.)
- 19 (Complementary angles are two angles whose measures have a sum of 90.)
- 63, 27 (Complementary angles are two angles whose measures have a sum of 90.)
- 10 (Complementary angles are two angles whose measures have a sum of 90.)
A: 63, 27

Q: If [Image], find z such that [Image].
- 11 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 4 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 11.5 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 18.5 (Lines that form right angles are perpendicular. A right angle measures 90.)
A: 4

Q: Name each polygon by its number of sides.

[Image]
- dodecagon (Count the number of sides to determine the name of the polygon.)
- pentagon (Count the number of sides to determine the name of the polygon.)
- hexagon (Count the number of sides to determine the name of the polygon.)
- decagon (Count the number of sides to determine the name of the polygon.)
A: dodecagon

Q: Name each polygon by its number of sides.

[Image]
- hexagon (Count the number of sides to determine the name of the polygon.)
- quadrilateral (Count the number of sides to determine the name of the polygon.)
- heptagon (Count the number of sides to determine the name of the polygon.)
- pentagon (Count the number of sides to determine the name of the polygon.)
A: quadrilateral

Q: Find [Image] if [Image] is six more than three times its complement.
- 136.5 (Complementary angles are two angles whose measures have a sum of 90.)
- 43.5 (Complementary angles are two angles whose measures have a sum of 90.)
- 21 (Complementary angles are two angles whose measures have a sum of 90.)
- 69 (Complementary angles are two angles whose measures have a sum of 90.)
A: 69

Q: Name each polygon by its number of sides.

[Image]
- triangle (Count the number of sides to determine the name of the polygon.)
- quadrilateral (Count the number of sides to determine the name of the polygon.)
- pentagon (Count the number of sides to determine the name of the polygon.)
- hexagon (Count the number of sides to determine the name of the polygon.)
A: pentagon

Q: Rays CD and DA are perpendicular. Point E lies in the interior of [Image]. If [Image] and [Image], find [Image].
- 16 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 27 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 55 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 63 (Lines that form right angles are perpendicular. A right angle measures 90.)
A: 63

Q: In the figure, [Image] and [Image] are opposite rays. [Image] and [Image] bisects [Image].
[Image]

If [Image] and [Image], what is w?
- 41 ([Image])
- 18 ([Image])
- 10 ([Image])
- 9 ([Image])
A: 18

Q: Two angles are supplementary. One angle measures 26^o more than the other one. Find the measure of the two angles.
- 77, 103 (Supplementary angles are two angles whose measures have a sum of 180.)
- 32, 58 (Supplementary angles are two angles whose measures have a sum of 180.)
- 167, 193 (Supplementary angles are two angles whose measures have a sum of 180.)
- 76, 104 (Supplementary angles are two angles whose measures have a sum of 180.)
A: 77, 103

Q: Use the figure to find the angles.
[Image]

Name two obtuse vertical angles.
- [Image] (Vertical angles are two nonadjacent angles formed by two intersecting lines. Obtuse angles measure greater than 90 degrees.)
- [Image] (Vertical angles are two nonadjacent angles formed by two intersecting lines. Obtuse angles measure greater than 90 degrees.)
- [Image] (Vertical angles are two nonadjacent angles formed by two intersecting lines. Obtuse angles measure greater than 90 degrees.)
- [Image] (Vertical angles are two nonadjacent angles formed by two intersecting lines. Obtuse angles measure greater than 90 degrees.)
A: [Image]

Q: Use the figure to find the angles.
[Image]

Name a pair of obtuse adjacent angles.
- [Image] (Adjacent angles are two angles that lie in the same plane, have a common vertex, and a common side, but no common interior points. Obtuse angles measure greater than 90 degrees.)
- [Image] (Adjacent angles are two angles that lie in the same plane, have a common vertex, and a common side, but no common interior points. Obtuse angles measure greater than 90 degrees.)
- [Image] (Adjacent angles are two angles that lie in the same plane, have a common vertex, and a common side, but no common interior points. Obtuse angles measure greater than 90 degrees.)
- [Image] (Adjacent angles are two angles that lie in the same plane, have a common vertex, and a common side, but no common interior points. Obtuse angles measure greater than 90 degrees.)
A: [Image]

Q: Name each polygon by its number of sides.

[Image]
- pentagon (Count the number of sides to determine the name of the polygon.)
- triangle (Count the number of sides to determine the name of the polygon.)
- hexagon (Count the number of sides to determine the name of the polygon.)
- quadrilateral (Count the number of sides to determine the name of the polygon.)
A: triangle

Q: If [Image] and and UST=6w+3 , find w such that [Image] is a right angle.
- 10.11 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 9 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 11 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 21 (Lines that form right angles are perpendicular. A right angle measures 90.)
A: 11

Q: Name each polygon by its number of sides.

[Image]
- nonagon (Count the number of sides to determine the name of the polygon.)
- decagon (Count the number of sides to determine the name of the polygon.)
- dodecagon (Count the number of sides to determine the name of the polygon.)
- octagon (Count the number of sides to determine the name of the polygon.)
A: nonagon

Q: If [Image] and [Image], find h such that [Image].
- 23.4 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 25 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 9 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 43 (Lines that form right angles are perpendicular. A right angle measures 90.)
A: 25

Q: [Image]. Point H lies on [Image]. Point J lies in the interior of [Image]. If [Image] and [Image], find [Image].
- 30 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 42 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 48 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 108 (Lines that form right angles are perpendicular. A right angle measures 90.)
A: 48

Q: [Image]. Point M lies on [Image]. If [Image], find t.
- 21 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 16 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 14 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 36 (Lines that form right angles are perpendicular. A right angle measures 90.)
A: 21

Q: The measure of an angle’s supplement is 24 less than twice the measure of the angle. Find the measure of the angle and its supplement.
- 38, 52 (Supplementary angles are two angles whose measures have a sum of 180.)
- 52, 38 (Supplementary angles are two angles whose measures have a sum of 180.)
- 68, 112 (Supplementary angles are two angles whose measures have a sum of 180.)
- 112, 68 (Supplementary angles are two angles whose measures have a sum of 180.)
A: 68, 112

Q: Name each polygon by its number of sides.

[Image]
- hexagon (Count the number of sides to determine the name of the polygon.)
- triangle (Count the number of sides to determine the name of the polygon.)
- pentagon (Count the number of sides to determine the name of the polygon.)
- quadrilateral (Count the number of sides to determine the name of the polygon.)
A: quadrilateral

Q: Use the figure to find the angles.
[Image]

Name an angle supplementary to [Image].
- [Image] (Supplementary angles are two angles whose measures have a sum of 180.)
- [Image] (Supplementary angles are two angles whose measures have a sum of 180.)
- [Image] (Supplementary angles are two angles whose measures have a sum of 180.)
- [Image] (Supplementary angles are two angles whose measures have a sum of 180.)
A: [Image]

Q: If [Image] and [Image], find a such that [Image] is a right angle.
- 19.5 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 18 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 27 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 40.5 (Lines that form right angles are perpendicular. A right angle measures 90.)
A: 18

Q: The measures of two complementary angles are [Image] and [Image]. Find the measures of the angles.
- 42, 48 (Complementary angles are two angles whose measures have a sum of 90.)
- 4.25 (Complementary angles are two angles whose measures have a sum of 90.)
- 8.75 (Complementary angles are two angles whose measures have a sum of 90.)
- 96, 84 (Complementary angles are two angles whose measures have a sum of 90.)
A: 42, 48

Q: Use the figure to find the angles.
[Image]

Name a linear pair.
- [Image] (A linear pair is a pair of adjacent angles whose noncommon sides are opposite rays.)
- [Image] (A linear pair is a pair of adjacent angles whose noncommon sides are opposite rays.)
- [Image] (A linear pair is a pair of adjacent angles whose noncommon sides are opposite rays.)
- [Image] (A linear pair is a pair of adjacent angles whose noncommon sides are opposite rays.)
A: [Image]

Q: Name each polygon by its number of sides.

[Image]
- decagon (Count the number of sides to determine the name of the polygon.)
- dodecagon (Count the number of sides to determine the name of the polygon.)
- nonagon (Count the number of sides to determine the name of the polygon.)
- octagon (Count the number of sides to determine the name of the polygon.)
A: decagon

Q: Name each polygon by its number of sides.

[Image]
- hexagon (Count the number of sides to determine the name of the polygon.)
- triangle (Count the number of sides to determine the name of the polygon.)
- pentagon (Count the number of sides to determine the name of the polygon.)
- quadrilateral (Count the number of sides to determine the name of the polygon.)
A: triangle

Q: In the figure, [Image] and [Image] are opposite rays. [Image] and [Image] bisects [Image].
[Image]

If [Image] is a right angle and [Image], what is x?
- 5.5 ([Image])
- 9.5 ([Image])
- 45 ([Image])
- 30 ([Image])
A: 5.5

Q: [Image]. Point R lies on [Image]. If [Image], find f.
- 11.5 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 7.83 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 3.5 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 19 (Lines that form right angles are perpendicular. A right angle measures 90.)
A: 11.5

Q: Use the figure to find the angles.
[Image]

Name two acute vertical angles.
- [Image] (Vertical angles are two nonadjacent angles formed by two intersecting lines. Acute angles measure less than 90 degrees.)
- [Image] (Vertical angles are two nonadjacent angles formed by two intersecting lines. Acute angles measure less than 90 degrees.)
- [Image] (Vertical angles are two nonadjacent angles formed by two intersecting lines. Acute angles measure less than 90 degrees.)
- [Image] (Vertical angles are two nonadjacent angles formed by two intersecting lines. Acute angles measure less than 90 degrees.)
A: [Image]

Q: Rays AB and BC are perpendicular. Point D lies in the interior of [Image]. If [Image] and [Image], find [Image] and [Image].
- 8, 90 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 55, 125 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 21, 69 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 25, 65 (Lines that form right angles are perpendicular. A right angle measures 90.)
A: 25, 65

Q: If [Image] and [Image], find y such that [Image].
- 7.5 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 8.86 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 4 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 10.43 (Lines that form right angles are perpendicular. A right angle measures 90.)
A: 4

Q: Name each polygon by its number of sides. Then classify it as convex or concave and regular or irregular.

[Image]
- dodecagon, concave, irregular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
- dodecagon, convex, irregular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
- decagon, concave, irregular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
- decagon, convex, regular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
A: dodecagon, concave, irregular

Q: Find the length of each side of the polygon for the given perimeter.

[Image] units. Find the length of each side.
[Image]
- 16 units, 18 units, 14 units (Perimeter is the sum of the sides.)
- 12 units, 16 units, 8 units (Perimeter is the sum of the sides.)
- 10 units, 18 units, 8 units (Perimeter is the sum of the sides.)
- 12 units, 14 units, 10 units (Perimeter is the sum of the sides.)
A: 12 units, 14 units, 10 units

Q: Name each polygon by its number of sides. Then classify it as convex or concave and regular or irregular.

[Image]
- pentagon, convex, regular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
- pentagon, convex, irregular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
- hexagon, concave, irregular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
- hexagon, convex, irregular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
A: pentagon, convex, irregular

Q: Name each polygon by its number of sides. Then classify it as convex or concave and regular or irregular.

[Image]
- quadrilateral, convex, irregular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
- quadrilateral, concave, irregular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
- quadrilateral, convex, regular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
- pentagon, convex, regular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
A: quadrilateral, convex, irregular

Q: Find the length of each side of the polygon for the given perimeter.

[Image] in. Find the length of each side.
[Image]
- 11 in., 20 in., 35 in. (Perimeter is the sum of the sides.)
- 10 in., 18.5 in., 31.5 in. (Perimeter is the sum of the sides.)
- 12 in., 21.5 in., 38.5 in. (Perimeter is the sum of the sides.)
- 10 in., 15 in., 35 in. (Perimeter is the sum of the sides.)
A: 10 in., 18.5 in., 31.5 in.

Q: Find the length of each side of the polygon for the given perimeter.

[Image] mi
[Image]
- 9 mi (In the case of a regular figure, the length of each side is the perimeter divided by the number of sides.)
- 6 mi (In the case of a regular figure, the length of each side is the perimeter divided by the number of sides.)
- 3 mi (In the case of a regular figure, the length of each side is the perimeter divided by the number of sides.)
- 12 mi (In the case of a regular figure, the length of each side is the perimeter divided by the number of sides.)
A: 9 mi

Q: Name each polygon by its number of sides. Then classify it as convex or concave and regular or irregular.

[Image]
- triangle, convex, regular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
- triangle, convex, irregular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
- triangle, concave, irregular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
- quadrilateral, convex, irregular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
A: triangle, convex, irregular

Q: Name each polygon by its number of sides. Then classify it as convex or concave and regular or irregular.

[Image]
- decagon, convex, irregular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
- decagon, concave, irregular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
- dodecagon, convex, irregular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
- dodecagon, concave, irregular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
A: decagon, concave, irregular

Q: Find the length of each side of the polygon for the given perimeter.

[Image] cm
[Image]
- 8 cm (In the case of a regular figure, the length of each side is the perimeter divided by the number of sides.)
- 6 cm (In the case of a regular figure, the length of each side is the perimeter divided by the number of sides.)
- 4 cm (In the case of a regular figure, the length of each side is the perimeter divided by the number of sides.)
- 3 cm (In the case of a regular figure, the length of each side is the perimeter divided by the number of sides.)
A: 6 cm

Q: Name each polygon by its number of sides. Then classify it as convex or concave and regular or irregular.

[Image]
- quadrilateral, convex, regular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
- quadrilateral, concave, irregular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
- pentagon, convex, regular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
- quadrilateral, convex, irregular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
A: quadrilateral, convex, irregular

Q: Find the length of each side of the polygon for the given perimeter.

[Image] units. Find the length of each side.
[Image]
- 18 units, 18 units, 13 units (Perimeter is the sum of the sides.)
- 18.66 units, 18.66 units, 13.66 units (Perimeter is the sum of the sides.)
- 27 units, 27 units, 22 units (Perimeter is the sum of the sides.)
- 26 units, 26 units, 21 units (Perimeter is the sum of the sides.)
A: 18 units, 18 units, 13 units

Q: Name each polygon by its number of sides. Then classify it as convex or concave and regular or irregular.

[Image]
- triangle, convex, regular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
- triangle, concave, irregular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
- triangle, convex, irregular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
- quadrilateral, convex, irregular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
A: triangle, convex, irregular

Q: Find the length of each side of the polygon for the given perimeter.

[Image] cm. Find the length of each side.
[Image]
- 8 cm, 8 cm, 8 cm (Perimeter is the sum of the sides.)
- 6 cm, 6 cm, 6 cm (Perimeter is the sum of the sides.)
- 10 cm, 10 cm, 4 cm (Perimeter is the sum of the sides.)
- 9 cm, 9 cm, 6 cm (Perimeter is the sum of the sides.)
A: 8 cm, 8 cm, 8 cm

Q: Name each polygon by its number of sides.

[Image]
- pentagon (Count the number of sides to determine the name of the polygon.)
- quadrilateral (Count the number of sides to determine the name of the polygon.)
- hexagon (Count the number of sides to determine the name of the polygon.)
- octagon (Count the number of sides to determine the name of the polygon.)
A: hexagon

Yu made a paper airplane by folding a piece of paper several times as shown.
[Image]
a.      In making her airplane, she folded the top edge of the paper into 8 equal angles. What is the measure of each angle?
b.      Classify the angles in answer a.
c.      If the perimeter of the triangle made by the 3 measured lines is 27 in., what is the length of each of the sides?

Q: Name each polygon by its number of sides. Then classify it as convex or concave and regular or irregular.

[Image]
- quadrilateral, convex, regular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
- quadrilateral, concave, irregular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
- pentagon, convex, irregular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
- quadrilateral, convex, irregular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
A: quadrilateral, convex, irregular

Q: Find the length of each side of the polygon for the given perimeter.

[Image] mi. Find the length of each side.
[Image]
- 11 mi, 11 mi, 7 mi, 7 mi (Perimeter is the sum of the sides.)
- 33 mi, 33 mi, 21 mi, 21 mi (Perimeter is the sum of the sides.)
- 71 mi, 71 mi, 37 mi, 37 mi (Perimeter is the sum of the sides.)
- 35 mi, 35 mi, 19 mi, 19 mi (Perimeter is the sum of the sides.)
A: 35 mi, 35 mi, 19 mi, 19 mi

Q: Name each polygon by its number of sides. Then classify it as convex or concave and regular or irregular.

[Image]
- pentagon, convex, regular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
- hexagon, concave, regular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
- hexagon, convex, regular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
- hexagon, convex, irregular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
A: hexagon, convex, regular

Q: Find the length of each side of the polygon for the given perimeter.

[Image] ft. Find the length of each side.
[Image]
- 41 ft, 41 ft, 17 ft, 17 ft, 24 ft (Perimeter is the sum of the sides.)
- 29 ft, 29 ft, 13 ft, 13 ft, 16 ft (Perimeter is the sum of the sides.)
- 50 ft, 50 ft, 20 ft, 20 ft, 30 ft (Perimeter is the sum of the sides.)
- 33.5 ft, 33.5 ft, 14.5 ft, 14.5 ft, 19 ft (Perimeter is the sum of the sides.)
A: 29 ft, 29 ft, 13 ft, 13 ft, 16 ft

Q: Find the length of each side of the polygon for the given perimeter.

[Image] units. Find the length of each side.
[Image]
- 9 units, 36 units, 4 units, 23 units (Perimeter is the sum of the sides.)
- 8 units, 33 units, 4 units, 21 units (Perimeter is the sum of the sides.)
- 9 units, 35 units, 5 units, 23 units (Perimeter is the sum of the sides.)
- 10 units, 34 units, 6 units, 22 units (Perimeter is the sum of the sides.)
A: 9 units, 35 units, 5 units, 23 units

Q: Find the length of each side of the polygon for the given perimeter.

[Image] cm. Find the measure of each side.

[Image]
triangle [Image] triangle [Image]
measures given are for triangle ABC
- 20 cm, 20 cm, 6 cm, 6 cm, 10 cm, 10 cm (Perimeter is the sum of the sides.)
- 14 cm, 14 cm, 6 cm, 6 cm, 8 cm, 8 cm (Perimeter is the sum of the sides.)
- 30 cm, 30 cm, 9 cm, 9 cm, 17 cm, 17 cm (Perimeter is the sum of the sides.)
- 16 cm, 16 cm, 5 cm, 5 cm, 7 cm, 7 cm (Perimeter is the sum of the sides.)
A: 16 cm, 16 cm, 5 cm, 5 cm, 7 cm, 7 cm

Q: Name each polygon by its number of sides. Then classify it as convex or concave and regular or irregular.

[Image]
- hexagon, convex, irregular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
- hexagon, concave, irregular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
- hexagon, convex, regular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
- heptagon, convex, irregular (Suppose the line containing each side is drawn. If any of the lines contain any point in the interior of the polygon, then it is concave. Otherwise it is convex. A convex polygon in which all the sides are congruent and all the angles are congruent is called a regular polygon.)
A: hexagon, convex, irregular