Geometry
Review: 3.1 – 3.2, 3.5
Name: _____________________________________
Z
For numbers 1 – 4, refer to the diagram.
Y
X
W
1. Name all the segments parallel to 𝑈𝑉 .
2. Name all the segments that are parallel to 𝑉𝑆.
V
S
3. Name a segment skew to 𝑊𝑍 through T.
U
4. Plane SYT is parallel to which plane?
T
For numbers 5 – 12, identify each pair of angles as corresponding, alternate interior, alternate exterior, or consecutive interior angles.
5. 1 and 7
6. 3 and 7
7. 4 and 6
8. 3 and 6
9. 1 and 5
10. 2 and 8
11. 4 and 5
12. 4 and 8
13. Fill in the seven missing angles in the diagram to the right that would make lines a and b parallel.
a
102o
b
For numbers 14 – 17, determine if there is enough given information to say line y and line z are parallel. Answer yes or no. If yes,
explain your reasoning using a converse. If no, explain why not.
14. Is y || z? _____________
15. Is y || z? ____________
Reason: _______________________________________
Reason: ____________________________________
y
z
z
p
y
p
16. Is y || z? _____________
17. Is y || z? ____________
Reason: _______________________________________
Reason: ____________________________________
z
40˚
y
z
140˚
y
80˚
p
p
100˚
18. Write congruent or supplementary into the following sentences.
a) Corresponding angles are ______________________________ .
b) Alternate Interior angles are ______________________________ .
c) Consecutive Interior angles are ______________________________ .
d) Alternate Exterior angles are ______________________________ .
For numbers 19 – 22, find the value of x.
19. z || y.
z
y
20. a || b.
(8x – 4)˚
p
(5x+17)˚
21. g || h
g
h
22. w || v
(7x)º
(8x – 6) º
a
b
w
(8x – 14)º
(4x + 28)º
(8x + 8)º
(10x – 30)º
V
23. Find the value of x, y and z in the figure.
(6z + 6)
(5y – 4)
(x)
For numbers 24 – 31, identify each pair of angles as corresponding, alternate interior, alternate exterior, or consecutive interior
angles.
24. 9 and 16
25. 3 and 7
26. 4 and 11
27. 13 and 5
28. 4 and 9
29. 1 and 8
30. 4 and 6
31. 14 and 11
For numbers 32 and 33, determine if any lines are parallel. If so, which lines are parallel? State the postulate/theorem that justifies
your answer. In other words, give a reason as to why the lines are parallel.
32. ∠9 ≅ ∠13
32. Circle one:
a || b
l || m
None are parallel
Reason:
33. 𝑚∠7 + 𝑚∠10 = 180°
33. Circle one:
a || b
l || m
None are parallel
Reason: