# chapter 3 test review

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```CHAPTER 3 TEST REVIEW
1) Identify Parallel, Perpendicular, and Skew lines
2) Angle relationships formed by parallel lines cut by a transversal
3) Slope and its relationship between parallel and perpendicular lines
4) Proofs dealing with Ch. 3 Topics
3 TOPICS:
Identification
1) What is segments are parallel to AF ?
2) What segments are perpendicular to AF ?
3) What segments are skew to AF ?
4) BC and CD are ______________
5) FD and BC are ______________
Angle Relationships
Name the relationship for each set of angles.
1) &lt;1 &amp; &lt; 5
1
3
7
6) BE and EF are ______________
2) &lt; 6 &amp; &lt; 3
3) &lt; 7 &amp; &lt; 2
2
4
5 6
8
Find x and y.
7)
x
4) &lt; 6 &amp; &lt; 4
5) &lt; 2 &amp; &lt; 3
6) &lt; 4 &amp; &lt; 8
y
8)
y
75 
45 
Find x.
9)
x
10)
5x + 4
8x-11
6x + 15
4x+35
*** Please note that the questions on the test may include equations that are more difficult to
solve than the ones given above. This could include but is not limited to problems with
fractions/decimals or quadratic equations (i.e. factoring) ***
Slope
Find the slope that goes through the given points. Also, state the slope of a line parallel and a
line perpendicular to any line with your found slope.
11. (1, 4) and (3, 7)
12. (2, 8) and (2, 4)
13. (-2, -6) and (-5, 4)
m: ____ ||: _____  : ____
m: ____ ||: _____  : ____
m: ____ ||: _____  : ____
Find the equation of a line parallel to the given line that goes through the given point.
14. y 
2
x  4 and (10, 6)
5
2
15. y   x  8 and (6, 3)
3
Find the equation of a line perpendicular to the given line that goes through the given point.
16. y 
2
x  4 and (10, 6)
5
2
17. y   x  8 and (6, 3)
3
Distance from a Point to a Line
Name the segment that is the distance from the given point to the given line
F
FB  AC
E
EC  BD
18. The distance from F to AB
19. The distance from E to BD
20.
D
C
A B
21.
l
k
j
1
2
m
3
4
Given: j k , 1 and 4 are supplementary
Prove: l m
l
22.
j
1
2
k
Given: 1  2
Prove: j k
```