Download Unit 2 Test Review

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Unit 2 Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Based on the pattern, what are the next two terms of the sequence?
,...
____
____
2.
A.
C.
B.
D.
bisects
A. 108
= 7x.
B. 72
=
. Find
C. 180
3. Which statement is an example of the Addition Property of Equality?
A. If p = q then
C. If p = q then
.
B. If p = q then
D. p = q
.
Use the given property to complete the statement.
____
____
____
4. Transitive Property of Congruence
If
______.
A.
B.
C.
D.
5. Substitution Property of Equality
If
, then ______.
A.
B.
C.
D.
6. Name the Property of Congruence that justifies the statement:
If
.
A. Symmetric Property
C. Reflexive Property
B. Transitive Property
D. none of these
D. 252
.
____
7. Complete the two-column proof.
Given:
Prove:
A. a. Given
b. Subtraction Property of Equality
c. Division Property of Equality
B. a. Given
b. Subtraction Property of Equality
c. Multiplication Property of Equality
____
C. a. Given
b. Addition Property of Equality
c. Multiplication Property of Equality
D. a. Given
b. Addition Property of Equality
c. Division Property of Equality
8. What is the value of x?
(8x – 8)°
(7x + 8)°
Drawing not to scale
A. –16
____
B. 120
C. 60
9. Find the values of x and y.
A. x = 15, y = 17
B. x = 112, y = 68
C. x = 68, y = 112
D. x = 17, y = 15
D. 16
____ 10. Which angles are corresponding angles?
A.
B.
C.
D. none of these
____ 11. Which statement is true?
A.
B.
C.
D.
are alternate angles.
are alternate angles.
are same-side interior angles.
are same-side interior angles.
This diagram of airport runway intersections shows two parallel runways. A taxiway crosses both
runways.
____ 12. How are
and
related?
A. alternate interior angles
B. corresponding angles
C. same-side interior angles
D. none of these
____ 13. If 8 measures 127, what is the sum of the measures of 1 and 4?
A. 254
B. 307
C. 127
____ 14. Which is a correct two-column proof?
Given:
and
are supplementary.
Prove:
m
Z
X W
E F
G H
A.
B.
C.
D. none of these
Y
l
n
D. 106
____ 15. The expressions in the figure below represent the measures of two angles. Find the value of x.
The diagram is not to scale.
f
7x
2 x + 36
g
A. 15
C. –16
B. 17
D. 16
____ 16. Find the value of x for which l is parallel to m. The diagram is not to scale.
80°
( 3 x - 43 )º
l
m
A. 100
B. 80
C. 123
____ 17. What is the slope of the line shown?
y
10
8
6
4
(–2, 2)
2
–10 –8 –6 –4 –2
–2
2
4
6
8 10
x
–4
–6
–8
–10
A.
6
11
B.
6

11
(4, –9)
C.
11
6
D. 11
6

D. 41
.
3
____ 18. What is the graph of y =  x – 2?
4
y
A.
–6
–4
C.
6
6
4
4
2
2
–2
2
4
6
–4
–2
–2
–4
–4
–6
–6
D.
y
–4
–6
x
–2
B.
–6
y
6
4
4
2
2
2
4
6
x
4
6
x
2
4
6
x
y
6
–2
2
–6
–4
–2
–2
–2
–4
–4
–6
–6
____ 19. Write an equation in slope-intercept form of the line through points S(–7,–6) and T(10,8).
A.
C.
14
4
14
4
 x–
y=
x+
17
17
17
17
B.
D.
14
4
14
4
 x+
y=
x–
17
17
17
17
____ 20. What is an equation in slope-intercept form for the line given?
y
8
(5, 1)
–8
(–4, –2)
8
x
–8
A.
B.
C.
D.
____ 21. What is the equation in point-slope form for the line parallel to y = –2x + 10 that contains J(6, 8)?
A. y – 8 = –2(x – 6)
C. y – 8 = 2(x – 6)
B. x – 8 = 2(y – 6)
D. y + 8 = –2(x – 6)
____ 22. What is an equation in point-slope form for the line perpendicular to y = 2x + 13 that contains (8, –4)?
A.
C. y + 4 = 2(x – 8)
1
y + 4 =  (x – 8)
2
B. x + 4 = 2(y – 8)
D.
1
y + 8 =  (x – 4)
2
Short Answer
1. What is the value of x? Identify the missing justifications.
2. Solve for x. Justify each step.
3. Complete the paragraph proof.
Given:
are supplementary, and
are supplementary.
Prove:
By the definition of supplementary angles,
_____ (a) and
_____ (b).
Then
by _____ (c). Subtract
from each side. You get
_____ (d), or
_____ (e).
Essay
1. Complete the two-column proof.
Given:
Prove:
Drawing not to scale
Unit 2 Review
Answer Section
MULTIPLE CHOICE
1. C
2. D
3. B
4. D
5. B
6. A
7. B
8. D
9. A
10. C
11. C
12. B
13. A
14. C
15. D
16. D
17. C
18. B
19. D
20. A
21. A
22. A
SHORT ANSWER
1. a. Angle Addition Postulate
b. Substitution Property
c. Distributive Property
d. Simplify
e. Addition Property of Equality
f. Division Property of Equality
2.
Given
Addition Property of Equality
Simplify
Division Property of Equality
x = 27
Simplify
3. a. 180
b. 180
c. Transitive Property (or Substitution Property)
d.
e.
ESSAY
1.
a. Given
b. Substitution Property
c. Vertical Angles Theorem
d. Substitution Property