Title: points, lines, planes
Course: quiz duplicate error

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: 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 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: 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: 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

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.)
- linem (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

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.)
- line 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 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: 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 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

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

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 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: 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 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

How many planes contain points all of the 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 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: 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: 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

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: 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 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: Refer to Figure 1. (Hint: Remember that lines go on forever!)

[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: 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 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

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