Download Properties of Parallel Lines

Name
Class
Date
Practice
3-2
Form K
Properties of Parallel Lines
Identify all the numbered angles that are congruent to the given angle.
Justify your answers.
1.
2.
1 43
2 3
4 5
6 7
1
4.
1 2
107 3
1 2
4 3
12 13
4 5
15 14
l2; vert. ' are O;
l4; corresp. ' are O.
6
5
3
148
7
l6; vert. ' are O; l4; corresp. '
are O; l2; alt. int. ' are O.
l2; vert. ' are O; l5; corresp. '
are O; l6, alt. ext. ' are O.
3.
2
4
75
5 6
7
8 9
11 10
l6; vert. ' are O; l4 and l11; corresp. ' are O;
l2 and l9; alt. int. ' are O; l13; corresp. ' of alt.
int. ' are O; l15; corresp. ' of corresp. ' are O.
Find ml1 and ml2. Justify each answer.
5.
6.
x
a
1
b
45
x
y
1 2
2
7.
115
q
45; alt int. ' with 458;
135; linear pair with 458
65; linear pair with l2;
115; corr ' with 1158
B
A
2
95
1
50
D
C
95; alt int. ' with 958;
130; same-side ' with 508
8. Ana made a zip line for her tree house. To do
this, she attached a pulley to a cable. She then
strung the cable at an angle between the tree
house and another tree. She made the drawing
of the zip line at the right. The two trees are parallel.
a. What is the measure of /1?
75
105
1
b. Are /1 and the given angle same-side
interior angles, alternate interior angles,
or corresponding angles?
same-side interior angles
Prentice Hall Foundations Geometry • Teaching Resources
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Name
Class
3-2
Date
Practice (continued)
Form K
Properties of Parallel Lines
9. Developing Proof Supply the missing
1
reasons in the two-column proof.
d
c
Given: a 6 b, c 6 d
a
3
2
Prove: /1 and /4 are supplementary.
4
b
Statements
1) /1 > /2
Reasons
1) 9 Vert. ' are O.
2) c 6 d
2) Given
3) /2 and /3 are supplementary.
3) 9 If lines are n, then same-side int.
4) a 6 b
4) Given
5) /3 > /4
5) 9 If lines are n, then alt. int. ' are O.
6) /1 and /4 are supplementary.
6) 9 Subst. Prop.
' are suppl.
Algebra Find the value of x. Then find the measure of each labeled angle.
10.
18; 60; 60
11.
52; 128; 52
(2x 24)
(3x 6)
(4x 12)
x
Algebra Find the values of the variables.
12.
13.
19.5
(2x 12)
29; 110
y
(4x 12)
(3x 23)
14. Error Analysis Which solution for the value of x
in the figure at the right is incorrect? Explain.
A.
4x - 2 = 3x + 6
x=8
B.
4x – 2 + 3x – 6 = 180
7x – 8 = 180
x = 24.6
(4x 2)
(3x 6)
B; the marked angles are alt. int. ', so they are O.
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Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
16