Title: Midyear Test First Half
Course: quiz duplicate error

Q: Write an equation for the line parallel to y = –8x + 14 that contains P(8, –6).
- y – 6 = –8(x – 8)
- y + 6 = –8(x – 8)
- x + 6 = 8(y – 8)
- y + 6 = 8(x – 8)
A: y + 6 = –8(x – 8)

Q: Find the value of the variable. The diagram is not to scale.
[Image]
- 23
- 69
- 44
- 33
A: 23

Q: What is the converse of the following conditional?
If a number is a natural number, then it is a whole number.
- If a number is not a natural number, then it is not a whole number.
- If a number is a whole number, then it is a natural number.
- If a number is a natural number, then it is a whole number.
- If a number is not a whole number, then it is not a natural number.
A: If a number is a whole number, then it is a natural number.

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

Q: Find the distance between points P(8, 1) and Q(9, 7) to the nearest tenth.
- 18.8
- 6.1
- 7
- 37
A: 6.1

Q: Identify the hypothesis and conclusion of this conditional statement:
If tomorrow is Thursday, then yesterday was Tuesday.
- Hypothesis: Yesterday was not Tuesday. Conclusion: Tomorrow is Thursday.
- Hypothesis: Tomorrow is Thursday. Conclusion: Yesterday was Tuesday.
- Hypothesis: Yesterday was Tuesday. Conclusion: Tomorrow is Thursday.
- Hypothesis: Tomorrow is Thursday. Conclusion: Yesterday was not Tuesday.
A: Hypothesis: Tomorrow is Thursday. Conclusion: Yesterday was Tuesday.

Q: Find AD.
[Image]
- 1
- 15
- 7
- 13
A: 13

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

Q: Based on the pattern, what are the next two terms of the sequence?
4, 11, 18, 25, . . .
- 32, 39
- 39, 46
- 32, 1225
- 175, 1225
A: 32, 39

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

Q: [Image] Find [Image]
[Image]
- 152
- 142
- 28
- 38
A: 38

Q: Name the line and plane shown in the diagram.
[Image]
- line A and plane ABD
- [Image] and plane ABD
- [Image] and plane DC
- [Image] and plane DA
A: [Image] and plane ABD

Q: Find a counterexample to show that the conjecture is false.
Conjecture: Any number that is divisible by 5 is also divisible by 10.
- 32
- 25
- 40
- 50
A: 25

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

Q: Find the coordinates of the midpoint of the segment whose endpoints are H(3, 14) and K(9, 4).
- (6, 10)
- (6, 9)
- (12, 18)
- (3, 5)
A: (6, 9)

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

Q: [Image] and [Image] are complementary angles. m [Image] = [Image], and m [Image] = [Image]. Find the measure of each angle.
- [Image] = 42, [Image] = 48
- [Image] = 49, [Image] = 51
- [Image] = 49, [Image] = 41
- [Image] = 42, [Image] = 58
A: [Image] = 49, [Image] = 41

Q: Write an equation in slope-intercept form of the line through points S(–1, 2) and T(7, 8).
- [Image] [Image]x – [Image]
- [Image] [Image]x + [Image]
- y = [Image]x + [Image]
- y = [Image]x – [Image]
A: y = [Image]x + [Image]

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

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

Q: [Image] bisects [Image] [Image] and [Image] Solve for x and find [Image] The diagram is not to scale.
[Image]
- x = 11, [Image]
- x = 10, [Image]
- x = 11, [Image]
- x = 10, [Image]
A: x = 11, [Image]

Q: If [Image] find the values of x, EF, and FG. The drawing is not to scale.
[Image]
- x = 13, EF = 6, FG = 23
- x = 13, EF = 46, FG = 55
- x = 4, EF = –12, FG = –4
- x = 4, EF = 6, FG = 23
A: x = 13, EF = 6, FG = 23

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 T is the midpoint of [Image] find the values of x and ST. The diagram is not to scale.
[Image]
- x = 13, ST = 64
- x = 13, ST = 81
- x = 8, ST = 81
- x = 8, ST = 64
A: x = 8, ST = 64

Q: [Image]. Find the value of x for p to be parallel to q. The diagram is not to scale.
[Image]
- 119
- 16
- 112
- 105
A: 16

Q: Find the values of x and y.
[Image]
- x = 126, y = 54
- x = 54, y = 126
- x = 9, y = 66
- x = 66, y = 9
A: x = 66, y = 9

Q: Graph y = [Image]x + 5.
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image] / [Image]

Q: Given [Image] [Image] and [Image], find [Image] and [Image]
- 20
- 23
- 8
- 9
A: 8

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

Q: Find the value of the variable if [Image] [Image] and [Image] The diagram is not to scale.
[Image]
- –4
- 4
- 3
- 5
A: 4

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 Thursday.
- If tomorrow is Thursday, then yesterday was Tuesday. Hypothesis: Yesterday was Tuesday. Conclusion: Tomorrow is not 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: The complement of an angle is 21°. What is the measure of the angle?
- 159°
- 69°
- 79°
- 169°
A: 69°

Q: Find the value of x.
[Image]
- –16
- 87
- 93
- 16
A: –16

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

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

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: The two triangles are congruent as suggested by their appearance. Find the value of f. The diagrams are not to scale.
[Image]
- 46
- 44
- 90
- 5
A: 46

Q: Find the value of k. The diagram is not to scale.
[Image]
- 25
- 57
- 106
- 123
A: 57

Q: Is the line through points P(3, 8) and Q(9, 0) perpendicular to the line through points R(5, –6) and S(11, 2)? Explain.
- Yes; their slopes have product –1
- Yes; their slopes have product –1
- No, their slopes are not reciprocals.
- Yes; their slopes are equal.
A: No, their slopes are not reciprocals.

Q: Find the value of x. The diagram is not to scale.
[Image]
- 165
- 78
- 153
- 27
A: 27

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

Q: Find [Image] The diagram is not to scale.
[Image]
- 76
- 114
- 113
- 66
A: 66

Q: Use the Law of Syllogism to draw a conclusion from the two given statements.
If three points lie on the same line, they are collinear.
If three points are collinear, they lie in the same plane.
- If three points do not lie in the same plane, they do not lie on the same line.
- If three points lie in the same line, they lie in the same plane.
- The three points lie in the same plane.
- The three points are collinear.
A: If three points lie in the same line, they lie in the same plane.

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 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: The sum of the measures of two exterior angles of a triangle is 268. What is the measure of the third exterior angle?
- 102
- 92
- 88
- 82
A: 92

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

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: Use the Law of Detachment to draw a conclusion from the two given statements.
If two angles are supplementary, then the sum of their measures is 180°.
[Image] and [Image] are supplementary.
- [Image] + [Image] = 180
- [Image] + [Image] = 90
- [Image] is congruent to [Image].
- [Image]
A: [Image] + [Image] = 180

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: 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: [Image] bisects [Image] [Image] = 9x. [Image] = [Image]. Find [Image]
- 54
- 36
- 126
- 162
A: 162

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: How many sides does a regular polygon have if each exterior angle measures 60?
- 6 sides
- 5 sides
- 8 sides
- 9 sides
A: 6 sides

Q: If [Image] and [Image], then what is the measure of [Image] The diagram is not to scale.
[Image]
- 40
- 42
- 41
- 1
A: 41

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] 3.7 miles.)
- [Image], 5 miles
- [Image], 92.5 miles
- [Image], 18.5 miles
- [Image], 9.25 miles
A: [Image], 18.5 miles