Honors Geometry
Review 5.1 – 5.3
1.
Two lines in different planes that do not intersect are _____.
a.) coplanar
b.) parallel
c.) perpendicular
d.) opposite
e.) skew
2.
Which of the following must be true if a  b?
I. 1 comp 2
II. m 1 + m 2 = m 3
III. m 1 = m 2
a.)
b.)
c.)
d.)
e.)
3.
I only
II only
III only
I and II
I and III
b
2
3
a
Which of the following is not true when a || b?
a.) 1  5
b.) 4  8
c.) m 1 + m 5 = 180
d.) m 4 + m 6 = 180
e.) 2  6
1
2
1
3
a
4
5
6
7
4.
Which lines are parallel?
a.) EB || FD
b.) AE || CF
c.) EF || BC
d.) b and c
e.) all of the above
5.
Determine which lines must be parallel.
a.) a || b
b.) c || d
c.) c || e
d.) a and b
e.) a and c
E
b
8
F
32
30
70
68
30
A
B C
a
c
d
e
b
D
6.
Given: m || n
m 3 = 72
Find m 5.
2
1
3
a.)
b.)
c.)
d.)
e.)
7.
m
4
18
72
108
112
none of these
5
6
7
n
8
Given: m || n
Find the value of x.
a.)
b.)
c.)
d.)
e.)
8.
7
8
32
44
none of these
m
(9x - 19)
(x + 37)
n
Given: Diagram
Find the value of x so that m || n.
a.)
b.)
c.)
d.)
e.)
13
15
88
92
none of these
(6x + 2)
(4x + 28)
m
n
Determine if the following statements are true or false.
9.
If two lines are perpendicular to the same line, they are perpendicular
to each other.
a.) true
b.) false
c.) not enough information
10.
If two lines are parallel, then the corresponding angles formed by
the parallel lines are congruent.
a.) true
b.) false
c.) not enough information
Use the diagram below to answer the following questions.
11.
Name an angle corresponding to 2.
12.
Name an angle alternate interior to 2.
13.
Name an angle alternate exterior to 2.
14.
Name an angle same side interior to 2.
15.
7 and 15 are ___________________.
1
2
3 4
5 6
7 8
9 10
11 12
13 14
15 16
QUESTIONS 11 - 1 8
16.
5  8 are ______________________.
17.
10 and 13 are __________________.
18.
11 and 14 are __________________.
Determine if the following statements are true or false. If true, justify your reasoning with a theorem
or postulate.
19.
20.
m
If 2  10, then m || n.
If 2  7, then m || n.
a
b
21.
n
1
2
3 4
9 10
11 12
5 6
7 8
13 14
15 16
If m 4 + m 7 = 180, then m || n.
QUESTIONS 19 - 23
22.
If 1  16, then a || b.
23.
If 11  15, then m || n.
Determine if the following statements are true or false. If true, justify your reasoning with a theorem
or postulate.
24.
If 1  2, then AB || CD .
A
B
2
25.
1
If ABC  C, then AB || CD .
D
C
Question s 24 -26
26.
If AB || CD , then 1  2.
27.
Determine which segments are parallel.
Justify your reasoning
S
28.
M
64
118
62
N
Q
M
Given: MQ || NP
3  4
1
2
Prove: 1  5
3 4
5
6
Q
29.
N
P
Assume the given lines are parallel, find the value of x.
30
70
x
R
30.
Find the restrictions on x.
a.)
b.)
x
110°
46°
87°
31.
x
28°
Write a paragraph proof. Remember to justify your reasoning in each step.
A
Given: D is the midpoint of BC
AD does not bisect BAC
Prove: ΔABC is not isosceles
B
Recommended Textbook Questions
p.264 (3, 5, 9, 25, 30)
D
C