Parallel And Perpendicular Lines Worksheet Page 48
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50Vocabulary and Concepts
Vocabulary and Concepts
1. Write an equation of a line that is perpendicular
4
2
to y
3x
.
2
7
3
1
2. Name a theorem that can be used to prove that
6
5
two lines are parallel.
3. Find all the angles that are supplementary to
1.
Skills and Applications
Skills and Applications
w
x
In the figure, m 12
64. Find the measure of each angle.
4.
8
5.
13
1
2
3 4
y
5 6
7 8
6.
7
7.
11
8.
3
9.
4
9 10
11 12
z
13 14
15 16
10.
9
11.
5
Graph the line that satisfies each condition.
12. slope
1, contains P( 2, 1)
13. contains Q( 1, 3) and is perpendicular to AB with A( 2, 0) and B(4, 3)
14. contains M(1,
1) and is parallel to FG with F(3, 5) and G( 3,
1)
4
15. slope
, contains K(3,
2)
3
For Exercises 16–21, refer to the figure at the right.
p
A
( 3 x
60 )
p q
Find each value if
.
D
y
B
q
16. x
17. y
C
E
18. m FCE
19. m ABD
( 2 x
15 )
F
20. m BCE
21. m CBD
Find the distance between each pair of parallel lines.
22. y
2x
1, y
2x
9
23. y
x
4, y
x
2
24.
COORDINATE GEOMETRY
Detroit Road starts in the center of the city,
and Lorain Road starts 4 miles west of the center of the city. Both roads
run southeast. If these roads are put on a coordinate plane with the center
of the city at (0, 0), Lorain Road is represented by the equation y
x
4
and Detroit Road is represented by the equation y
x. How far away is
Lorain Road from Detroit Road?
25.
STANDARDIZED TEST PRACTICE
In the figure
t
m
at the right, which cannot be true if
and
1
m 1
73?
2
m 4
A
73
B
1
4
m
3
m 2
m 3
C
180
D
3
1
4
Chapter 3 Practice Test 171
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