2. If mZ4 = 45°, then mZ6 = ? . 3. If OTZ2 = 130°, then mZ7 = ? 4. If mZ 6 = 123°,
then mZ3 = _1. Find mZ1 and mZ2. Geometry. 46. Chapter 3 Practice Workbook ...
Date
Name
Practice For use with pages 146-152
Think of each segment in the diagram as part of a Eine. Complete the statement with parallel, skew, or
perpendicular.
1. WZ and ZR are _2_.
2. WZ and ST are
I I
? .
z
/ / / /
3. grand YS are_2_
Q
4. Plane WZR and plane SYZ are.
5. Plane RQT and plane YXW are _?_
E o o
Think of each segment in the diagram as part of a Eine. Which line(s) or plane(s) appear to fit the description? 6. Line(s) parallel to EH
G
I I
7. Line(s) perpendicular to EH
D
/ / / /
8. Line(s) skew to CD and containing point F
©
9. Plane(s) perpendicular to plane AEH
10. Plane(s) parallel to plane FGC
Geometry
Chapter 3 Practice Workbook
43
Name LESSON
3.1
Date
PraCtiCe
continued For use with pages 146-152
Classify the angle pair as corresponding, alternate interior, exterior, or consecutive interior angles.
alternate
11. Z l and Z9 12. Z 8 and Z13 13. Z 6 and Z16 14. Z4andZ10 15. Z8 andZ16 16. ZIOand Z13
In Exercises 17-20, use the markings in the diagram. 17. Name a pair of parallel lines.
O
18. Name a pair of perpendicular lines.
19. Is OL || TR1 Explain.
20. Is OL LTR1 Explain.
Copy and complete the statement with sometimes, always, or never. 21. If two lines are parallel, then they ? intersect. ©
22. I f one line is skew to another, then they are
? coplanar.
23. If two lines intersect, then they are ? perpendicular. 24. If two lines are coplanar, then they are ? parallel.
Geometry
44
Chapter 3 Practice Workbook
Name LESSON
3.1
Date
PraCtiCe
continued For use with pages 146-152
Copy the diagram and sketch the line.
25. Line through M and parallel to NP.
26. Line through N and perpendicular to MP.
27. Line through M and perpendicular to MP. 28. Line through P and parallel to MN.
Use construction tools to construct a line through point P that is parallel to line m. 29.
*P
30.
»p
Use the diagram of the fire escape to decide whether the statement is true or false.
31. The planes containing the platforms outside of each pair of windows are parallel to the ground. 32. The planes containing the stairs are parallel to each other. 33. The planes containing the platforms outside of each pair of windows are perpendicular to the planes containing the stairs.
34. The planes containing the platforms outside of each pair of windows are perpendicular to the plane containing the side of the building with the fire escape.
Geometry
Chapter 3 Practice Workbook
Date
Name
Practice For use with pages 153-160
Find the angle measure. Tell which postulate or theorem you use. 1. IfmZl
= 50°. then mZ5 = _?_.
2. If mZ4 = 45°, then mZ6 =
3.
I f OTZ2 = 130°, then mZ7 =
? .
?
4. If mZ 6 = 123°, then mZ3 = _ 1
Find mZ1 and mZ2.
Geometry
46
Chapter 3 Practice Workbook
Name LESSON
3.2
Date
PraCtiCe
continued For use with pages 153-160
Find the values of x and y. 11.
f
12.
'110°
14.
Find the value of x. 17.
15.
18.
13. n ir
h
r
1
r
16. •r
k
•
»
n K
°
x°
19.
(2x - 4)
20.
21.
22.
Geometry
Chapter 3 Practice Workbook
Name LESSON
3.2
PraCtlCe
continued For use with pages 153-160
In Exercises 23-31, complete the two-column proof. GIVEN: p±q,q\\r
p
4
PROVE: p±r
^^~
