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Name———————————————————————— Lesson
3.1
Date —————————————
Practice A
For use with the lesson “Identify Pairs of Lines and Angles”
Think of each segment in the diagram as part of a line. Complete the
statement with parallel, skew, or perpendicular.
##$ are    ?   . 1.​@##$
WZ​ and @​XY ​
@​ ###$ are    ?   .
@##$ and QW​
2.​WZ​
X
@##$ are    ?   .
3.​@##$
SY ​ and ​WX​
T
4.Plane WQR and plane SYT are    ?   .
5.Plane RQT and plane WQR are    ?   .
Y
Z
W
S
Q
R
Think of each segment in the diagram as part of a line. Which line(s) or
plane(s) appear to fit the description?
##$ 
7. Line(s) perpendicular to @​BF ​
D
H
9. Plane(s) perpendicular to plane ABE
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
C
B
A
@##$ and containing point E
8. Line(s) skew to ​CD​
10. Plane(s) parallel to plane ABC
Lesson 3.1
##$ 
6. Line(s) parallel to ​@AB ​
G
E
F
Classify the angle pair as corresponding, alternate interior, alternate
exterior, or consecutive interior angles.
11. ∠ 3 and ∠ 9
1 2
4 3
12. ∠ 5 and ∠13
5 6
8 7
13. ∠ 4 and ∠10
14. ∠ 5 and ∠15
9 10
12 11
15. ∠ 7 and ∠14
13 14
16 15
16. ∠1 and ∠11
In Exercises 17–20, use the markings in the diagram.
17. Name a pair of parallel lines. 18.Name a pair of perpendicular lines.
O
V
P
Q
##$ i ​@TR ​
##$ ?
19. Is ​@QS ​
##$ ⊥ @​TR ​
##$ ?
20. Is ​@VN​
R
T
N
L
M
S
Geometry
Chapter Resource Book
CS10_CC_G_MECR710761_C3L01PA.indd 5
3-5
4/27/11 2:41:07 AM
Name———————————————————————— Lesson
3.1
Date —————————————
Practice A continued
For use with the lesson “Identify Pairs of Lines and Angles”
Copy and complete the statement with sometimes, always, or never.
21. If two lines are not parallel, then they    ?    intersect.
22. If one line is skew to another, then they    ?    intersect.
23. If two lines are perpendicular, then they    ?    intersect.
24. If two lines are coplanar, then they are    ?    perpendicular.
Copy the diagram and sketch the line.
##$ .
25. Line through A and parallel to ​@BC​
A
@​ ##$ .
27. Line through B and perpendicular to BC​
##$. 
28. Line through C and parallel to ​@AB ​
B
C
In Exercises 29–32, use the diagram.
29. Name all pairs of corresponding angles.
1 2
4 3
30. Name all pairs of alternate interior angles.
31. Name all pairs of alternate exterior angles.
32. Name all pairs of consecutive interior angles.
5
8
6
7
Use the diagram to decide whether the statement is true or false.
33. The plane containing the table top is parallel to the ground.
34. The planes containing the edges of each leg are parallel
to the plane containing the table top.
@##$ and CD​
@​ ##$ are perpendicular to each other.
35. Edge lines ​AD​
@##$ and @BC​
36. Edge lines ​AD​
​ ##$ will intersect.
3-6
A
B
D
C
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
Lesson 3.1
@​ ##$ .
26. Line through A and perpendicular to BC​
Geometry
Chapter Resource Book
CS10_CC_G_MECR710761_C3L01PA.indd 6
4/27/11 2:41:08 AM