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Geometry
3.3 Worksheet
Name _________________________________
Date ___________________
Hour ______
PROVE LINES ARE PARALLEL
Is there enough information to prove that lines p and q are parallel? If so, state the postulate or theorem
you would use.
1.
2.
3.
4.
5.
6.
Find the value of x that makes m ║ n.
7.
8.
9.
10.
12.
11.
Find the value of x that makes m ║ n.
13.
14.
15.
16.
18.
17.
Exercises 19–22, use the diagram and the given information to determine if m ║ n, p ║ q, or neither.
19.  2   11
20.  1   8
21.  10   14
22.  4   l6
Use the diagram below to complete the following.
23.
a. _______ is a transversal and it cuts lines ______ and ______.
k
m
1
a
3
p
b. _______ cuts lines ______ and ______.
2
c. _______ cuts lines ______ and ______.
4
d. _______ cuts lines ______ and ______.
e. _______ and _______ are corresponding angles.
5
f. _______ and _______ are alternate interior angles.
7
6
8
g. _______ and _______ are alternate exterior angles.
h. _______ and _______ are same side interior angles.
i. _______ and _______ are vertical angles.
j. _______ and _______ are a linear pair of angles.
24. Give the measure of the indicated angles in each.
a.
2
1
b.
c.
5
80º
74º
d.
111º
3
62º
7
4
8
6
25.
Find the values of x and y in the diagram at the right given that m
n.
m
(9y + 3) º
(10x – 15) º
75º
n