Name:__________________________________Date:______________________Pd:_______
Quiz 3: Proving Lines Parallel and Perpendicular
Study Guide
Directions: Read all instructions carefully. Circle your final answer. Show all work when possible. Use a
pencil. Good Luck! 
Use the diagram below for questions 1 and 2:
G
A
E
F
B
D
C
1. Name a line segment that is parallel to BC .
2.
H
Name a line segment parallel to plane ABC.
Use the diagram below for questions 3 and 4.
3. Name a pair of corresponding angles.
4. Name a pair of alternate exterior angles
5.
State each of the theorems below:
a. Alternate interior angles theorem
b. Corresponding angles theorem
c. Same side interior angles postulate
d. Alternate Exterior angles theorem
6.
Solve for x and y.
7. For what value of x is AB CD ?
8. What theorem could be used to prove b c based on the picture below?
9. If l m , and m7  3x  5 and m4  2x 10 what is the measure of 6 ?
10. Find all the missing variables.
11. If w  x, x  y, y z and z  u which is not true?
a.
x z
b. w y
c.
wu
d. w z
12. What is the value of x?
13. The measures of the angles of a scalene triangle are in the ratio of 1:2:3. What is the measure
of each angle in the triangle?
14. Write a proof.
a. Given: l n, m n, m3  36
b. Prove: m3  36
2
3
n
15. Write a Proof.
Given: l m and 2  4
Prove: n
p
l
m
1
l
4
2
n
3
p