Chapter 3 Review
Name ____________________________
Geometry
Date __________________ Period _____
In Exercises 1-4, use the diagram to complete each statement.
A
F
B
1. A line parallel to AH is ____________.
G
2. A line perpendicular to BC is ____________.
3. A line skew to GF is ____________.
4. Plane AFH is parallel to plane ____________.
H
C
E
D
In Exercise 5-9, use the diagram to complete the statement with corresponding, alternate interior,
alternate exterior, or consecutive interior.
5. 3 and 6 are ________________________________ angles.
6. 4 and 6 are ________________________________ angles.
1 3
2 4
7. 2 and 7 are ________________________________ angles.
8. 1 and 5 are ________________________________ angles.
5 7
6 8
9. 1 and 8 are ________________________________ angles.
Find the value of x.
10.
11.
(
1
x  15) 
2
x
4x°
x°
In Exercises12 and 13, state the postulate or theorem you would use to prove that lines a and b are parallel.
a
a
12.
13.
b
b
In Exercises 14 and 15, use the diagram to state whether the given angles are supplementary or
congruent.
14. 4 and 5 are _____________________________.
5
15. 3 and 5 are _____________________________.
16. 1 and 8 are _____________________________.
3 4
7 8
1 2
6
Find the slope of the line that passes through the labeled points on the graph.
17.
18.
B (4, 7)
A (  5,3)
B (7,3)
A(5, 2)
2
2
2
2
Find the slope of the line that passes through the given points.
19. (4, 2) and (6,8)
20. (3, 1) and (5, 11)
Decide whether the lines with the given equations are perpendicular, parallel, or neither.
1
22. y  x  1
21. y  5 x  2
3
y  5x  2
y  3x  2
23. 2 x  4 y  3
4x  8 y  7
24. x  2 y  12
3x  6 y  10
25. Complete the proof of the Alternate Exterior Angles Converse.
1
Given: Transversal t cuts line l and m.
2  1
2
Prove: l m
l
3
m
Statements
Reasons
1. 2  1
1. _____________________________________________
2. 1  3
2. _____________________________________________
3. 2  3
3. _____________________________________________
4. l m
4. _____________________________________________