GEOM. CH. 3 PARALLEL & PERPENDICULAR LINES
TEST PREVIEW
n
p
d
Multiple Choice
Identify the choice that best completes the statement or answers the question.
l
b
c
h
j
____
1. Which angles are corresponding angles?
a
.
____
a.
b.
2. Which statement is true?
c.
d. none of these
b
.
____
a.
are same-side angles.
b.
are same-side angles.
c.
are alternate interior angles.
d.
are alternate interior angles.
3. Which is a correct two-column proof?
Given:
Prove:
and
are supplementary.
c
.
k
m
(x – 3)°
41°
(y + 8)°
74°
____
____
d none of these
.
4. Line r is parallel to line t. Find m 5. The diagram is not to scale.
r
7
135°
1
3
____
t
4
2
5
6
____
____
a. 45
b. 35
c. 135
5. Find the value of the variable if
The diagram is not to scale.
1
R
70°
l
4
5
a. 60
6
7
____
Q
50°
2
3
d. 145
and
a. x = 77, y = 59
c. x = 57, y = 77
b. x = 77, y = 57
d. x = 41, y = 57
7. Complete the statement. If a transversal intersects two parallel
lines, then ____.
a. corresponding angles are supplementary
b. same-side interior angles are complementary
c. alternate interior angles are congruent
d. none of these
8. Complete the statement. If a transversal intersects two parallel
lines, then ____ angles are supplementary.
a. acute
c. same-side interior
b. alternate interior
d. corresponding
9. Find
The diagram is not to scale.
8
b. 120
c. 110
d. 70
m
a. 1
b. 2
c. 3
d. –2
6. Find the values of x and y. The diagram is not to scale.
This diagram of airport runway intersections shows two
parallel runways. A taxiway crosses both runways.
.
b
.
____ 10. If 8 measures 119, what is the sum of the measures of 1 and
4?
a. 122
b. 238
c. 119
d. 299
____ 11. How are
and
related?
a. corresponding angles
c. same-side interior angles
b. alternate interior angles
d. none of these
____ 12. Which is a correct two-column proof?
Given:
and
are supplementary.
Prove:
C
P Q
R S
T U
V W
a
B
Y
c
.
d none of these
.
____ 13. Which lines, if any, can you conclude are parallel given that
? Justify your conclusion with a theorem or
postulate.
l
28°
56°
g
1
2
j
m
h
k
a.
, by the Converse of the Same-Side Interior Angles
Theorem
b.
, by the Converse of the Alternate Interior Angles
Theorem
c.
, by the Converse of the Alternate Interior Angles
Theorem
d.
, by the Converse of the Same-Side Interior Angles
Theorem
____ 14.
. Find the value of x for p to be parallel to
q. The diagram is not to scale.
3 4
5
x°
a. 28
____ 16. If
and
b. 56
, what is
c. 84
d. 152
b
1 2
3 4
a
5 6
7 8
c
a. 90
c. 74
b. 106
d. not enough information
____ 17. Find the value of k. The diagram is not to scale.
1 2
6
62°
p
q
a. 114
b. 126
c. 120
d. 20
____ 15. Find the value of x for which l is parallel to m. The diagram is not
to scale.
45°
k°
a. 17
b. 73
c. 118
d. 107
____ 18. Find the values of x, y, and z. The diagram is not to scale.
____ 23. The folding chair has different settings that change the angles
formed by its parts. Suppose
is 26 and
is 70. Find
The diagram is not to scale.
38°
19°
56°
x°
z°
1
y°
2
3
a.
c.
b.
d.
____ 19. Classify the triangle by its sides. The diagram is not to scale.
9
a. 96
b. 106
c. 116
d. 86
____ 24. Find the value of the variable. The diagram is not to scale.
9
114°
9
a. straight
b. scalene
c. isosceles
d. equilateral
____ 20. Classify ABC by its angles, when m A = 32, m B = 85, and
m C = 63.
a. right
b. straight
c. obtuse
d. acute
____ 21. The triangular playground has angles whose measures are in the
ratio 8 : 3 : 9. What is the measure of the smallest angle?
a. 27
b. 3
c. 10
d. 30
____ 22. Find the value of x. The diagram is not to scale.
47°
x°
a. 66
b. 19
c. 29
____ 25. Find the value of x. The diagram is not to scale.
Given:
,
d. 43
,
S
72°
105°
a. 33
b. 162
x°
c. 147
d. 75
R
a. 5
T
b. 24
U
c. 20
d. 40
.
____ 26. What is a correct name for the polygon?
A
B
E
C
D
a. EDCAB
b. ABCDA
c. CDEAB
____ 27. Which figure is a convex polygon?
a.
c.
b.
d.
d. BAEAB
a. triangle
b. hexagon
c. pentagon
d. octagon
____ 29. The chips used in the board game MathFuries have the shape of
hexagons. How many sides does each MathFuries chip have?
a. 5
b. 6
c. 8
d. 10
____ 30. Find the sum of the measures of the angles of the figure.
a. 540
b. 180
c. 360
d. 900
____ 31. How many sides does a regular polygon have if each exterior angle
measures 20?
a. 17 sides
b. 20 sides
c. 21 sides
d. 18 sides
____ 32. Find the missing angle measures. The diagram is not to scale.
125°
x°
124° y°
65°
____ 28. Classify the polygon by its sides.
a. x = 124, y = 125
b. x = 56, y = 114
c. x = 114, y = 56
d. x = 56, y = 124
____ 33. The jewelry box has the shape of a regular pentagon. It is packaged
a. regular
b. equilateral
c. equiangular
in a rectangular box as shown here. The box uses two pairs of
____ 40. Find
. The diagram is not to scale.
congruent right triangles made of foam to fill its four corners. Find
the measure of the foam angle marked.
96°
x
x
118°
115°
104°
____ 34.
____ 35.
____ 36.
____ 37.
d. convex
A
a. 18°
b. 54°
c. 36°
d. 72°
a. 107
b. 117
c. 63
d. 73
The sum of the measures of two exterior angles of a triangle is 255.
What is the measure of the third exterior angle?
____ 41. A nonregular hexagon has five exterior angle measures of 55, 60,
a. 75
b. 115
c. 105
d. 95
69, 57, and 57. What is the measure of the interior angle adjacent
to the sixth exterior angle?
Use less than, equal to, or greater than to complete the statement.
a. 128
b. 118
c. 62
d. 108
The measure of each exterior angle of a regular 7-gon is ____ the
measure of each exterior angle of a regular 5-gon.
a. cannot tell b. equal to
c. less than
d. greater than
Use less than, equal to, or greater than to complete the statement.
The sum of the measures of the exterior angles of a regular 5-gon,
one at each vertex, is ____ the sum of the measures of the exterior
angles of a regular 9-gon, one at each vertex.
a. greater than b. cannot tell c. equal to
d. less than
The Polygon Angle-Sum Theorem states: The sum of the measures
of the angles of an n-gon is ____.
a.
b.
c.
d.
____ 38. Complete this statement. The sum of the measures of the exterior
angles of an n-gon, one at each vertex, is ____.
a. (n – 2)180 b. 360
c.
d. 180n
____ 39. Complete this statement. A polygon whose sides all have the same
length is said to be ____.
GEOM. CH. 3 PARALLEL & PERPENDICULAR LINES
TEST PREVIEW
Answer Section
MULTIPLE CHOICE
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