Title: Midyear Review First Half
Course: quiz duplicate error

Q: Name an angle supplementary to [Image]
[Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: How are the two angles related?
[Image]
- vertical
- supplementary
- complementary
- adjacent
A: supplementary

Q: Find AC.
[Image]
- 14
- 15
- 12
- 4
A: 12

Q: Find the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.
- 11
- 7.8
- 61
- 14.9
A: 7.8

Q: Supplementary angles are two angles whose measures have sum ____.
Complementary angles are two angles whose measures have sum ____.
- 90; 180
- 90; 45
- 180; 360
- 180; 90
A: 180; 90

Q: Which angles are corresponding angles?
[Image]
- [Image]
- [Image]
- [Image]
- none of these
A: [Image]

Q: Find a counterexample to show that the conjecture is false.
Conjecture: Any number that is divisible by 4 is also divisible by 8.
- 24
- 40
- 12
- 26
A: 12

Q: Find the values of x and y.
[Image]
- x = 15, y = 17
- x = 112, y = 68
- x = 68, y = 112
- x = 17, y = 15
A: x = 15, y = 17

Q: [Image]. Find the value of x for p to be parallel to q. The diagram is not to scale.
[Image]
- 114
- 126
- 120
- 20
A: 20

Q: Which lines, if any, can you conclude are parallel given that [Image]? Justify your conclusion with a theorem or postulate.
[Image]
- [Image], by the Converse of the Same-Side Interior Angles Theorem
- [Image], by the Converse of the Alternate Interior Angles Theorem
- [Image], by the Converse of the Alternate Interior Angles Theorem
- [Image], by the Converse of the Same-Side Interior Angles Theorem
A: [Image], by the Converse of the Same-Side Interior Angles Theorem

Q: Find [Image] The diagram is not to scale.
[Image]
- 60
- 120
- 110
- 70
A: 60

Q: Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.
I can go to the concert if I can afford to buy a ticket.
I can go to the concert.
- I can afford to buy a ticket.
- I cannot afford to buy the ticket.
- If I can go to the concert, I can afford the ticket.
- not possible
A: not possible

Q: Use the Law of Syllogism to draw a conclusion from the two given statements.
If a number is a multiple of 64,then it is a multiple of 8.
If a number is a multiple of 8, then it is a multiple of 2.
- If a number is a multiple of 64, then it is a multiple of 2.
- The number is a multiple of 2.
- The number is a multiple of 8.
- If a number is not a multiple of 2, then the number is not a multiple of 64.
A: If a number is a multiple of 64, then it is a multiple of 2.

Q: Find the value of x.
[Image]
- –19
- 125
- 19
- 55
A: –19

Q: Determine whether the conditional and its converse are both true. If both are true, combine them as a biconditional. If either is false, give a counterexample.
If an angle is a right angle, its measure is 90.
If an angle measure is 90, the angle is a right angle.
- One statement is false. If an angle measure is 90, the angle may be a vertical angle.
- One statement is false. If an angle is a right angle, its measure may be 180.
- Both statements are true. An angle is a right angle if and only if its measure is 90.
- Both statements are true. The measure of angle is 90 if and only if it is not a right angle.
A: Both statements are true. An angle is a right angle if and only if its measure is 90.

Q: Find the value of k. The diagram is not to scale.
[Image]
- 17
- 73
- 118
- 107
A: 73

Q: [Image] bisects [Image] [Image] = 7x. [Image] = [Image]. Find [Image]
- 50
- 125
- 75
- 175
A: 175

Q: [Image] Find [Image]
[Image]
- 37
- 143
- 27
- 153
A: 37

Q: Name the ray that is opposite [Image]
[Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: [Image] bisects [Image] [Image] and [Image] Solve for x and find [Image] The diagram is not to scale.
[Image]
- x = 9, [Image]
- x = 9, [Image]
- x = 10, [Image]
- x = 10, [Image]
A: x = 10, [Image]

Q: [Image] and [Image] are supplementary angles. [Image], and [Image]. Find the measure of each angle.
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Which choice shows a true conditional with the hypothesis and conclusion identified correctly?
- Yesterday was Monday if tomorrow is Thursday. Hypothesis: Tomorrow is Thursday. Conclusion: Yesterday was Monday.
- If tomorrow is Thursday, then yesterday was Tuesday. Hypothesis: Yesterday was Tuesday. Conclusion: Tomorrow is not Thursday.
- If tomorrow is Thursday, then yesterday was Tuesday. Hypothesis: Yesterday was Tuesday. Conclusion: Tomorrow is Thursday.
- Yesterday was Tuesday if tomorrow is Thursday. Hypothesis: Tomorrow is Thursday. Conclusion: Yesterday was Tuesday.
A: Yesterday was Tuesday if tomorrow is Thursday. Hypothesis: Tomorrow is Thursday. Conclusion: Yesterday was Tuesday.

Q: Write this statement as a conditional in if-then form:
All triangles have three sides.
- If a triangle has three sides, then all triangles have three sides.
- If a figure has three sides, then it is not a triangle.
- If a figure is a triangle, then all triangles have three sides.
- If a figure is a triangle, then it has three sides.
A: If a figure is a triangle, then it has three sides.

Q: The complement of an angle is 25°. What is the measure of the angle?
- 75°
- 155°
- 65°
- 165°
A: 65°

Q: Which point is the midpoint of [Image]?
[Image]
- D
- B
- not B, C, or D
- C
A: D

Q: Name the plane represented by the front of the box.
[Image]
- FBC
- BAD
- FEC
- FKG
A: FBC

Q: Name the line and plane shown in the diagram.
[Image]
- [Image] and plane RSU
- line R and plane RSU
- [Image] and plane UR
- [Image] and plane UT
A: [Image] and plane RSU

Q: Based on the pattern, what are the next two terms of the sequence?
9, 15, 21, 27, . . .
- 33, 972
- 39, 45
- 162, 972
- 33, 39
A: 33, 39

Q: If T is the midpoint of [Image] find the values of x and ST. The diagram is not to scale.
[Image]
- x = 5, ST = 45
- x = 5, ST = 60
- x = 10, ST = 60
- x = 10, ST = 45
A: x = 5, ST = 45

Q: If [Image] find the values of x, EF, and FG. The drawing is not to scale.
[Image]
- x = 10, EF = 8, FG = 15
- x = 3, EF = –6, FG = –6
- x = 10, EF = 32, FG = 45
- x = 3, EF = 8, FG = 15
A: x = 10, EF = 8, FG = 15

Q: Are O, N, and P collinear? If so, name the line on which they lie.
[Image]
- No, the three points are not collinear.
- Yes, they lie on the line MP.
- Yes, they lie on the line NP.
- Yes, they lie on the line MO.
A: No, the three points are not collinear.

Q: Find the midpoint of [Image]
[Image]
- (–3, –1)
- (–2, 0)
- (–2, –1)
- (–3, 0)
A: (–2, –1)

Q: Which plane is parallel to plane EFHG?

[Image]
- plane ABDC
- plane ACGE
- plane CDHG
- plane BDHF
A: plane ABDC

Q: Name the ray in the figure.
[Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Based on the pattern, what is the next figure in the sequence?
[Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: If [Image] then what are [Image] and [Image] The diagram is not to scale.
[Image]
- [Image], [Image]
- [Image], [Image]
- [Image], [Image]
- [Image], [Image]
A: [Image], [Image]

Q: If [Image] and [Image], then what is the measure of [Image] The diagram is not to scale.
[Image]
- 64
- 12
- 52
- 76
A: 64

Q: Which angle is a right angle?
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: A high school soccer team is going to Columbus to see a professional soccer game. A coordinate grid is superimposed on a highway map of Ohio. The high school is at point (3, 4) and the stadium in Columbus is at point (7, 1). The map shows a highway rest stop halfway between the cities. What are the coordinates of the rest stop? What is the approximate distance between the high school and the stadium? (One unit [Image] 6.4 miles.)
- [Image], 5 miles
- [Image], 160 miles
- [Image], 32 miles
- [Image], 16 miles
A: [Image], 32 miles

Q: Name a fourth point in plane TUW.
[Image]
- Y
- Z
- W
- X
A: Z

Q: What is the converse of the following conditional?
If a point is in the first quadrant, then its coordinates are positive.
- If a point is in the first quadrant, then its coordinates are positive.
- If a point is not in the first quadrant, then the coordinates of the point are not positive.
- If the coordinates of a point are positive, then the point is in the first quadrant.
- If the coordinates of a point are not positive, then the point is not in the first quadrant.
A: If the coordinates of a point are positive, then the point is in the first quadrant.

Q: [Image] and [Image] are complementary angles. m [Image] = [Image], and m [Image] = [Image]. Find the measure of each angle.
- [Image] = 47, [Image] = 53
- [Image] = 47, [Image] = 43
- [Image] = 52, [Image] = 48
- [Image] = 52, [Image] = 38
A: [Image] = 52, [Image] = 38

Q: Identify the hypothesis and conclusion of this conditional statement:
If two lines intersect at right angles, then the two lines are perpendicular.
- Hypothesis: The two lines are perpendicular. Conclusion: Two lines intersect at right angles.
- Hypothesis: Two lines intersect at right angles. Conclusion: The two lines are perpendicular.
- Hypothesis: The two lines are not perpendicular. Conclusion: Two lines intersect at right angles.
- Hypothesis: Two lines intersect at right angles. Conclusion: The two lines are not perpendicular.
A: Hypothesis: Two lines intersect at right angles. Conclusion: The two lines are perpendicular.

Q: Which statement is a counterexample for the following conditional?
If you live in Springfield, then you live in Illinois.
- Sara Lucas lives in Springfield.
- Jonah Lincoln lives in Springfield, Illinois.
- Billy Jones lives in Chicago, Illinois.
- Erin Naismith lives in Springfield, Massachusetts.
A: Erin Naismith lives in Springfield, Massachusetts.

Q: Use the Law of Detachment and the Law of Syllogism to draw a conclusion from the three given statements.
If an elephant weighs more than 2,000 pounds, then it weighs more than Jill’s car.
If something weighs more than Jill’s car, then it is too heavy for the bridge.
Smiley the Elephant weighs 2,150 pounds.
- Smiley is too heavy for the bridge.
- Smiley weighs more than Jill’s car.
- If Smiley weighs more than 2000 pounds, then Smiley is too heavy for the bridge.
- If Smiley weighs more than Jill’s car, then Smiley is too heavy for the bridge.
A: Smiley is too heavy for the bridge.

Q: Are points B, J, and C collinear or noncollinear?
[Image]
- collinear
- noncollinear
- impossible to tell
A: collinear

Q: Find a counterexample to show that the conjecture is false.
Conjecture: The product of two positive numbers is greater than the sum of the two numbers.
- 3 and 5
- 2 and 2
- A counterexample exists, but it is not shown above.
- There is no counterexample. The conjecture is true.
A: 2 and 2

Q: Find the value of the variable if [Image] [Image] and [Image] The diagram is not to scale.
[Image]
- 1
- 2
- 3
- –2
A: 2

Q: Find the coordinates of the midpoint of the segment whose endpoints are H(8, 2) and K(6, 10).
- (7, 6)
- (1, 4)
- (14, 12)
- (2, 8)
A: (7, 6)

Q: Use the Law of Detachment to draw a conclusion from the two given statements.
If two angles are congruent, then they have equal measures.
[Image] and [Image] are congruent.
- [Image] + [Image] = 90
- [Image] = [Image]
- [Image] is the complement of [Image].
- [Image]
A: [Image] = [Image]

Q: Write an equation in slope-intercept form of the line through points S(–10, –3) and T(–1, 1).
- [Image] [Image]x + [Image]
- y = [Image]x – [Image]
- [Image] [Image]x – [Image]
- y = [Image]x + [Image]
A: y = [Image]x + [Image]

Q: [Image]
[Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: In each pair of triangles, parts are congruent as marked. Which pair of triangles is congruent by ASA?
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Write an equation for the line parallel to y = –7x + 15 that contains P(9, –6).
- x + 6 = 7(y – 9)
- y + 6 = 7(x – 9)
- y – 6 = –7(x – 9)
- y + 6 = –7(x – 9)
A: y + 6 = –7(x – 9)

Q: Classify the triangle by its sides. The diagram is not to scale.
[Image]
- straight
- scalene
- isosceles
- equilateral
A: equilateral

Q: What is the measure of a base angle of an isosceles triangle if the vertex angle measures 38° and the two congruent sides each measure 21 units?
[Image]
- 71°
- 142°
- 152°
- 76°
A: 71°

Q: Graph y = [Image]x + 3.
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Find the value of x. The diagram is not to scale.
[Image]
- [Image]
- [Image]
- [Image]
- none of these
A: [Image]

Q: What else must you know to prove the triangles congruent by ASA? By SAS?
[Image]
- [Image]; [Image]
- [Image]; [Image]
- [Image]; [Image]
- [Image]; [Image]
A: [Image]; [Image]

Q: For which situation could you prove [Image] using the HL Theorem?

[Image] [Image] [Image]
- I only
- II only
- I and II
- II and III
A: II and III

Q: Is there enough information to conclude that the two triangles are congruent? If so, what is a correct congruence statement?
[Image]
- Yes;$$\Delta \ ABC= \Delta \ ACD\$$
- Yes; $$\Delta \ ACB= \Delta \ ACD\$$
- Yes; $$\Delta \ ACB= \Delta \ ADC\$$
- No, the triangles cannot be proven congruent.
A: Yes; $$\Delta \ ACB= \Delta \ ACD\$$

Q: The sum of the measures of two exterior angles of a triangle is 255. What is the measure of the third exterior angle?
- 75
- 115
- 105
- 95
A: 105

Q: How many sides does a regular polygon have if each exterior angle measures 20?
- 17 sides
- 20 sides
- 21 sides
- 18 sides
A: 18 sides

Q: What is the measure of the vertex angle of an isosceles triangle if one of its base angles measures 42°?
- 69°
- 84°
- 138°
- 96°
A: 96°

Q: Find the value of the variable. The diagram is not to scale.
[Image]
- 66
- 19
- 29
- 43
A: 19

Q: Given [Image] [Image] and [Image], find [Image] and [Image]
- 22
- 11
- 10
- 25
A: 10

Q: Is the line through points P(0, –9) and Q(2, –8) perpendicular to the line through points R(1, 4) and S(3, 3)? Explain.
- Yes; their slopes are equal.
- Yes; their slopes have product –1
- No, their slopes are not reciprocals.
- Yes; their slopes have product –1
A: No, their slopes are not reciprocals.

Q: Find the value of x. The diagram is not to scale.
[Image]
- 33
- 162
- 147
- 75
A: 33

Q: The two triangles are congruent as suggested by their appearance. Find the value of c. The diagrams are not to scale.
[Image]
- 4
- 5
- 3
- 38
A: 3

Q: Find the value of x. The diagram is not to scale.

Given: [Image], [Image], [Image]
[Image]
- 5
- 24
- 20
- 40
A: 40

Q: Use the information in the figure. Find [Image]
[Image]
- 32°
- 122°
- 64°
- 58°
A: 32°

Q: If [Image], which of the following can you NOT conclude as being true?
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Find [Image]. The diagram is not to scale.
[Image]
- 107
- 117
- 63
- 73
A: 73

Q: Find the values of x, y, and z. The diagram is not to scale.
[Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: From the information in the diagram, can you prove [Image]? Explain.
[Image]
- yes, by ASA
- yes, by AAA
- yes, by SAS
- no
A: yes, by ASA

Q: State whether [Image] and [Image] are congruent. Justify your answer.
[Image]
- yes, by either SSS or SAS
- yes, by SSS only
- yes, by SAS only
- No; there is not enough information to conclude that the triangles are congruent.
A: yes, by either SSS or SAS

Q: Classify the polygon by its sides.
[Image]
- triangle
- hexagon
- pentagon
- octagon
A: hexagon

Q: What additional information will allow you to prove the triangles congruent by the HL Theorem?
[Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Name the theorem or postulate that lets you immediately conclude [Image]
[Image]
- SAS
- ASA
- AAS
- none of these
A: SAS

Q: Find the values of x and y.
[Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: The Polygon Angle-Sum Theorem states: The sum of the measures of the angles of an n-gon is ____.
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Write an equation in point-slope form of the line through point J(–5, 6) with slope –4.
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]