Download Chapter Three

Geometry
Chapter 3 Review
Fill in the blank with parallel, perpendicular, or skew.
1.
UT and WT are ______________________
2.
RS and VW are ______________________
R
S
T
U
3.
TU and WX are ______________________
4.
plane VWT and plane RSX are ___________
5.
TW and WX are _____________________
X
W
V
Fill in the blank with corresponding, alternate interior, alternate exterior, or same side interior.
6.
6 and 10 are ______________________
7.
7 and 9 are _______________________
8.
8 and 9 are _______________________
9.
12 and 8 are ______________________
10.
5 and 11 are ______________________
11.
8 and 10 are ______________________
6
7
5
8
10
9
11
12
For questions 12 – 14, assume a || b.
12.
Find m 1. _______________
13.
Solve for x._______________
a
b
b
a
(2 x + 1)
151
(2 x)
138
1
14.
Solve for x._______________
15.
If a  b, solve for x.________________
a
81
a
b
27
(2 x - 9 )
(7 x + 15)
16.
b
Is it possible to prove the lines ||? State the theorem or postulate that justifies your reasoning.
a.)
b)
c.)
124
37
130
56
50
17.
53
Find the value of x that makes p || q. Justify your reasoning with a theorem or postulate?
a.)
b.)
(3 x+17)
(3 x+24)
(4 x-22 )
18.
x
Is a || b? Justify your reasoning with a theorem or postulate.
a
42
42
143
37
c
b
19.
If a || b, find x.
a
x
60
b
Calculate the slope of the line that passes through the labeled points on the graph.
20.
21.
A
B
B
A
Determine if the following pairs of lines are parallel, perpendicular, or neither.
22.
y = -5x – 2
23.
y = 5x + 2
25.
2x – 4y = 3
4x – 8y = 7
26.
1
x–1
3
y = -3x + 2
y=
5
x+8
6
6
y=  x–4
5
y=
24.
2x – 5y = 8
5x – 2y = 2
27.
x – 2y = 12
3x – 6y = 10
28.
Write the equation of a line parallel to the given line and passing through the given point
y = 3x + 6
29.
Write the equation of a line parallel to the given line and with the given y-intercept.
y=
30.
4
1
x3
2
y-intercept = -4
Write the equation of a line perpendicular to the given line and passing through the given point.
y=
31.
(-2, 5)
2
x–1
3
(8, -1)
Write the equation of a line perpendicular to the given line and with the given y-intercept.
y = 3x – 4
y-intercept =
1
3