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NAME
PERIOD
Unit 3 Review Questions
Write the letter for the correct answer in the blank at the right of each question.
For Questions 1 and 2, refer to the figure at the right.
1. Identify the plane parallel to plane PQT.
A plane PQS
B plane PTS
2. Which segment is skew to 𝑅𝑉?
F 𝑅𝑆
G 𝑅𝑄
S
Q
C plane RSV
D plane TUV
H 𝑆𝑊
3. ∠3 and ∠10
A alternate exterior
B alternate interior
C consecutive interior
D corresponding
4. ∠9 and ∠13
F alternate exterior
G alternate interior
H consecutive interior
J corresponding
C 105
P
W
V
1.
U
For Questions 3–10, refer to the figure at the right.
Identify the special name for each angle pair.
5. Given 𝑝 ∥ 𝑞and m ∠3 = 75, find m∠5.
A 15
B 75
R
T
J 𝑆𝑃
r
s
2.
12
43
9 10
12 11
p
56
87
13 14
16 15
q
3.
4.
5.
D 120
6. Given 𝑝 ∥ 𝑞, m∠10 = 3x – 7, and m∠13 = 4x – 9, find the value of x.
F –2
G 2
H 16
J 28
6.
7. Given ∠1 ≅ ∠5, which postulate or theorem justifies that 𝑝 ∥ 𝑞?
A Corresponding Angles Converse Postulate (CACP)
B Consecutive Interior Angles Converse Theorem (CIACT)
C Alternate Exterior Angles Converse Theorem (AEACT)
D Alternate Interior Angles Converse Theorem (AIACT)
7.
8. Given ∠12 ≅ ∠14, which postulate or theorem justifies that 𝑝 ∥ 𝑞?
F Corresponding Angles Converse Postulate (CACP)
G Consecutive Interior Angles Converse Theorem (CIACT)
H Alternate Exterior Angles Converse Theorem (AEACT)
J Alternate Interior Angles Converse Theorem (AIACT)
8.
9. If 𝑝 ∥ 𝑞 by the Consecutive Interior Angles Converse Theorem, which angle pair must
be supplementary?
A ∠3 and ∠10
B ∠3 and ∠8
C ∠8 and ∠13
D ∠15 and ∠16
9.
10. If m ∠4 = 7x – 20 and m ∠8 = 5x + 18, find the value of x so that 𝑝 ∥ 𝑞.
F 219
G –1
H 1
J 19
Chapter 3
51
10.
Glencoe Geometry
Assessment
3
DATE
NAME
DATE
3
PERIOD
Unit 3 Review Questions
(continued)
Determine the slope of the line that contains the given points.
11. P(–6, 3), Q(12, 9)
A –3
1
B –3
C
1
3
11.
D 3
12. If the slope of a line is 3, what is the slope of the line perpendicular to it.
1
F –3
G
1
3
H 3
12.
J -3
13. Given A(–1, 4), B(1, 5), and C(–5, 3), which coordinate will make 𝐴𝐵
parallel to 𝐶𝐷?
B D(–6, 1)
C D(–7, 2)
D D(–3, 4)
A D(–7, 4)
13.
14. Given A(2, 3), B(8, 7), and C(6, 1), which coordinate will make 𝐴𝐵
perpendicular to 𝐶𝐷?
F D(3, 3)
G D(4, 4)
H D(8, -2)
14.
J D(9, 3)
15. Which is an equation of the line with slope −1 that contains (–4, 7)?
1
A y – 7 = -1 (x + 4)
C y – 7 = –4x +
2
B y – 7 = -1 (x – 4)
D y + 7 = -1 (x + 4)
15.
16. Which is an equation of the line parallel to y = x + 5 that passes through (2, -5)?
12?
F y=x+7
G y=x-7
H y = -x + 5
J y = -x - 5
16.
17. Which is an equation of the line perpendicular to y = 4x – 5 and passes through (8, 15)?
A y = –4x + 17
B y = -1/4x + 17
C y = 4x – 17
D y = -1/4x - 17
17.
18. True/False. Vertical angles can be used to prove lines are parallel.
F True
G False
18.
19. If the slope of a line is 5, what is the slope of the line parallel to it?
A
B
C
D
19.
-5
1/5
5
-1/5
20. Given a pair of parallel lines, which of the following types of angles do not necessarily
have to be congruent?
F alternate interior angles
G alternate exterior angles
H corresponding angles
J consecutive interior angles
Chapter 3
52
20.
Glencoe Geometry