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Name _______________________________________ MGS31-…….
Ms. Montoya
Homework # 10: Parallel and Perpendicular Lines
Circle the best answer.
Use the figure for Exercises 6 and 7.
1. Classify AB and CD.
6. Given r || s, what is the measure of 1?
A 558
A skew segments
B parallel segments
C perpendicular segments
D intersecting segments
Use the figure for Exercises 2–4.
2. How are line m and line s related?
A intersecting
C perpendicular
B parallel
D skew
3. Identify the transversal.
A line m
B line s
4. What type of angle pair are 3 and 5?
A alternate interior angles
B corresponding angles
B 1258
7. Given r || s, which angle is supplementary
to 3?
A 1
B 2
8. Given: 1  2. Which theorem or
postulate proves that lines r and s are
parallel?
A Converse of the Corresponding
Angles Postulate
B Converse of the Alternate Interior
Angles Theorem
C Converse of the Alternate Exterior
Angles Theorem
D Converse of the Same-Side Interior
Angles Theorem
9. Which value of x makes lines m and n
parallel?
C alternate exterior angles
D same-side interior angles
5. Which correctly completes the sentence?
If two parallel lines are cut by a
transversal, then the pairs of
corresponding angles are ___________.
A complementary
B congruent
5b. If a transversal is perpendicular to one of
two parallel lines, how many different
angle measures are formed?
F 1
H 4
G 3
J 8
A 408
B 1408
10. Lines p and q together contain a linear
pair in which the angles are congruent.
What is the relationship between lines
p and q?
A parallel
B perpendicular
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Holt McDougal Geometry
Name _______________________________________ MGS31-…….
11. Which segment’s length gives the
distance from G to line ø?
A GF
B GE
12. Which inequality is correct?
Ms. Montoya
Use the figure for Exercises 15 and 16.
15. Which are alternate exterior angles?
A 1 and 3
C 3 and 6
B 1 and 8
D 6 and 7
16. Which statement is true?
F 1 and 2 are alternate interior angles.
A x  23
B x  20
13. If 1  2 and 4 is a right angle, which
postulate or theorem is used to prove m ||
n?
G 1 and 3 are corresponding angles.
H 3 and 6 are alternate exterior
angles.
J 3 and 7 are same-side interior
angles.
17.What type of angle is 1?
A Alt. Int. ? Thm.
B 2 lines ' to same line  2 lines are ||
C Corr. ? Post.
D Vert. ? Thm.
14. Which justifies Step 3?
F acute
H obtuse
G right
J straight
Use the figure for Exercises 18 and 19.
Given: s ' q and 1  2. Prove: s ' p
Proof:
Statements
Reasons
1. 1  2, s ' q
1. Given
2. p || q
2.

3. s ' p
3.

A' Transv. Thm.
B p || r
C Conv. of Alt. Int. ? Thm.
18. Which information proves that r || s?
F 1  3
H 4  6
G 4  5
J 5  6
19. If m3  (4x  20) and
m5  (6x  10), what value
of x proves that r || s?
A 5
C 40
B 15
D 100
D 2 lines ' to same line  2 lines ||
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Geometry