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Parallel lines cut by a transversal

Total questions: 97

Worksheet time: 11hrs 39mins

Name
Class
Date
1.

Same Side Interior Angles: Angles that are inside parallel lines on the same side of the transversal; they are supplementary

a)

True

b)

False

2.

Two lines in the same place that never intersect

a)

Transversal

b)

Parallel

c)

Perpendicular

3.

A line that intersects two or more lines

a)

Parallel

b)

Transversal

c)

Perpendicular

4.

Two lines that intersect to form four right angles

a)

Parallel

b)

Transversal

c)

Perpendicular

5.

Outside the parallel lines; same side of the transversal; supplementary

a)

Alternate Exterior Angles

b)

Same Side Exterior Angles

c)

Corresponding Angles

d)

Same Side Interior Angles

6.

Two angles whose sum is 90 degrees

a)

Complementary

b)

Supplementary

c)

Perpendicular

d)

Transversal

7.

What type of angles are labeled in the picture?

a)

Same Side Exterior

b)

Corresponding

c)

Complementary

d)

Alternate Interior Angles

8.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
9.
What is the relationship of the Angles
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
vertical 
10.
Which pair of angles are alternate exterior angles?
a)
Angle 7 and Angle 4
b)
Angle 2 and Angle 6
c)
Angle 8 and Angle 1
d)
Angle 2 and Angle 8
11.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
12.
Name the corresponding angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
13.
Name a pair of same side exterior angles.
a)
angle 1 & angle 2
b)
angle 2 & angle 7
c)
angle 1 & angle 7
d)
angle 2 & angle 8
14.
State the angle relationship and find the measure of angle 2
a)
Alternate Exterior
127
b)
Alternate Exterior
52
c)
Alternate Interior
127
d)
Alternate Interior
52
15.

Find m ∠D.

a)

∠D=116°

b)

∠D=64°

c)

∠D=180°

d)

∠D=26°

16.
Find the measure of angle 1.
a)
28o
b)
136o
c)
44o
d)
6o
17.
Find m ∠C.
a)
∠C=116°
b)
∠C=64°
c)
∠C=180°
d)
∠C=26°
18.
WHAT IS THE CORRECT EQUATION TO FIND THE VALUE OF X?
a)
X=12
b)
8X - 17 + 5X +19 = 180
c)
8X - 17 = 5X +19
d)
X= -12
19.
WHICH IS THE CORRECT EQUATION TO SOLVE FOR X? 
a)
16X+180 = 90
b)

12X - 29 = 4X +1

c)

12X - 29 + 4X +1=90

d)

12X - 29 + 4X +1=180

20.
WHAT IS THE CORRECT EQUATION TO USE TO SOLVE FOR X?
a)
33 = 7X +5
b)
-7X=33
c)
33+7X+5=180
d)
33+7X+5=90
21.

Which of the following is a pair of corresponding angles?

a)

SUV and VUX\angle SUV\ and\ \angle VUX  

b)

SUV and  UXY\angle SUV\ and\ \ \angle UXY  

c)

YXZ and YXU\angle YXZ\ and\ \angle YXU  

22.

Vertical angles are ________.

a)

supplementary

b)

linear pair

c)

congruent

23.

Solve for x.

a)

A

b)

B

c)

C

d)

D

24.

Solve for x.

a)

A

b)

B

c)

C

d)

D

25.

Find the measure of the angle indicated in bold.

a)

A

b)

B

c)

C

d)

D

26.

Find the measure of the angles.

a)

A

b)

B

c)

C

d)

D

27.
Solve for  y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10
28.

Solve for x.

a)

A

b)

B

c)

C

d)

D

29.

Solve for x.

a)

A

b)

B

c)

C

d)

D

30.
What is the value of x?
a)
-6
b)
22
c)
16
d)
21
31.

Name the angle

a)

∠D

b)

∠f

c)

∠FED

d)

∠FDE

32.

Name the vertex of the angle.

a)

S

b)

R

c)

Q

d)

S, R, and Q are vertices

33.

What is the arrow pointing to in the angle?

a)

a ray

b)

geometry

c)

vertex

d)

line

34.
What does this represent?
a)
angle ABC
b)
triangle ABC
c)
arc ABC
d)

less than ABC

35.

Choose the correct name for the angle marked 6.\angle6.  

a)

KVL\angle KVL  

b)

LKV\angle LKV  

c)

V\angle V  

d)

JKV\angle JKV  

36.

Choose the correct name for the angle marked 3.\angle3.  

a)

V\angle V  

b)

4\angle4  

c)

IVH\angle IVH  

d)

JVI\angle JVI  

37.

∠STU is formed by Rays ______ and ______.

a)

S, T

b)

T, U

c)

SU, TU

d)

TS, TU

38.

Name the sides of the angle

a)

ray FE and DE

b)

Point E

c)

Ray EF and ED

d)

line d and f

39.
What is the name of the RED line?
a)
RT
b)
RX
c)
TX
d)
Triangle TRX
40.
What is the name of the RED angle?
a)
BAC
b)
BDA
c)
ABD
d)
DAC
41.
Are these shapes congruent?
a)
Yes
b)
No
42.

An angle with a measurement equal to 90 degrees is called a ____.

a)

Acute Angle

b)

Right Angle

c)

Obtuse Angle

d)

Straight Angle

43.
Which segment is congruent to EF? 
a)
HG
b)
HF
c)
GF
d)
IE
44.

Given: PQST\overline{PQ}\cong\overline{ST}  

Which diagram shows the proper given information?

a)

b)

c)

45.

Given: QRSR\overline{QR}\cong\overline{SR}  

Which diagram shows the proper given information?

a)

b)

c)

46.
A polygon has to have
a)
at least two sides
b)
at least three sides
c)
four or more sides
d)
no sides
47.

Which of the following shapes are not polygons?

a)
b)
c)
d)
48.

The name of a polygon with 5 sides is:

a)

Pentagon

b)

Nonagon

c)

Fivetagon

d)

Octagon

49.

I am a polygon with 4 sides. What am I?

a)

triangle

b)

hexagon

c)

quadrilateral

d)

pentagon

50.

Which quadrilateral cannot be called a parallelogram?

a)

square

b)

rectangle

c)

trapezoid

d)

rhombus

51.

Name this quadrilateral.

a)

parallelogram

b)

square

c)

rectangle

d)

trapezoid

52.

How are a trapezoid and a rhombus alike?

a)

Both are parallelograms

b)

Both are quadrilaterals

c)

Both have four equal sides

d)

Both have only one pair of parallel sides

53.

Which shape always has four equal sides?

a)

parallelogram

b)

rectangle

c)

rhombus

d)

trapezoid

54.

Which shape is a quadrilateral?

a)

triangle

b)

trapezoid

c)

circle

d)

hexagon

55.

Find the missing angle.

a)

43

b)

47

c)

57

d)

67

56.
Angles 1 and 3 are what angle pair?
a)
Complementary
b)
Supplementary
c)
Adjacent
d)
Vertical
57.
Find x
a)
74
b)
148
c)
37
d)
90
58.
Solve for x.
a)
27
b)
23
c)
47
d)
113
59.
What is the value of "a"?
a)
75°
b)
65°
c)
55°
d)
85°
60.
What is the value of "x"?
a)
20
b)
30
c)
25
d)
15
61.

What angle is vertical to angle 2?

a)

∠4

b)

∠1

c)

∠2

d)

∠5

62.
1. Find X 
a)
28
b)
5
c)
55
d)
40
63.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
64.
Find the measure of each angle indicated.
a)
50
b)
20
c)
29
d)
48
65.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
66.
What is the value of x?
a)
51
b)
49
c)
78
67.
a)
93
b)
71
c)
81
d)
55
68.
If two sides of a triangle are congruent, then the _________________ opposite those sides are congruent.
a)
sides
b)
vertices
c)
angles
d)
measures
69.
Find x
a)
90
b)
45
c)
22
d)
35
70.

What is x ?

a)

46

b)

49

c)

108

d)

147

71.

What is x ?

a)

60

b)

80

c)

140

d)

160

72.

What is x ?

a)

48

b)

52

c)

80

d)

100

73.
Solve for x.
a)
16
b)
11
c)
50
d)
6
74.
Find the measure of the missing angle.
a)
30o
b)
110o
c)
150o
d)
40o
75.

Find the indicated angle measure. (What is ?)

a)

51°

b)

37°

c)

167°

d)

41°

76.

Solve for x

a)

49

b)

58

c)

70

d)

94

77.

Solve for x

a)

60

b)

120

c)

40

d)

65

78.

Which list of angles could create a triangle?

a)

20°, 45°, 120°20\degree,\ 45\degree,\ 120\degree

b)

100°, 130°, 130°100\degree,\ 130\degree,\ 130\degree

c)

35°, 60°, 85°35\degree,\ 60\degree,\ 85\degree

d)

25°, 55°, 110°25\degree,\ 55\degree,\ 110\degree

79.

Which answer explains the Inequality Theorem?

a)

The sum of the shorter two sides must EQUAL the longest side.

b)

The sum of the shorter two sides must be GREATER than the longest side.

c)

Any two sides must be greater than the third side.

d)

The only way to make a triangle is for all the sides to be equal.

80.

Which group of side lengths could form a triangle?

a)

6, 8, 14

b)

7, 11, 5

c)

9, 9, 20

d)

10, 15, 4

81.

Which set of side lengths CANNOT create a triangle?

a)

5, 5, 5

b)

22, 6, 18

c)

4, 3, 2

d)

10, 10, 20

82.

Which set of angles CANNOT make a triangle?

a)

60°, 50°, 70°60\degree,\ 50\degree,\ 70\degree

b)

48°, 112°, 20°48\degree,\ 112\degree,\ 20\degree

c)

150°, 25°, 15°150\degree,\ 25\degree,\ 15\degree

d)

36.5°, 79.2°, 64.3°36.5\degree,\ 79.2\degree,\ 64.3\degree

83.
The longest side of a triangle would be located where on a triangle?
a)
Across from the smallest angle
b)
Across from the largest angle
c)

Adjacent to the largest side.

d)
Adjacent to the smallest side.
84.

Where would the smallest angle of a triangle be located?

a)
Across from the longest side.
b)
Across from the shortest side
c)

Adjacent to the longest side

d)

Adjacent to the shortest side

85.
What is the largest angle in this triangle?
a)
C
b)
A
c)
BA
d)
AC
86.
Order the sides of the triangle from least to greatest.
a)
B, C, A
b)
AC, CB, BA
c)
BA, AC, CB
d)
CB, AB, AC
87.
List the sides of the triangles in order from greatest to least.
a)
AB, BC, CA
b)
AB, AC, CB
c)
CA, AB, BC
d)
AB, BC and CA are the same
88.
Find the largest angle in Δ PRQ
a)
∠R
b)
∠P
c)
∠Q
d)
∠S
89.
Find the largest side in Δ BCD
a)
Segment BC
b)
Segment DB
c)
Segment DC
d)
Segment AB
90.

Identify the longest side measure.

a)
QP
b)
QM
c)
MP
91.
Identify the shortest side measure.
a)
QP
b)
QM
c)
MP
92.
Identify the smallest angle.
a)
∠A
b)
∠B
c)
∠C
93.

Will these line segments form a triangle?

a)

yes

b)

no

94.

Mrs. Barto has a pet rabbit and wants to build a pen for it. She has 3 pieces of lumber: 3ft, 7ft, and 8ft. Can she build a closed triangular pen with these three boards? (Will these three sides make a triangle?)

a)

Yes

b)

No

95.

Does the sides 3, 2, 1 make a triangle?

a)

yes

b)

no

96.

Which set of side lengths will form a triangle?

a)

3, 6, 12

b)

7, 7, 14

c)

9, 9, 9

d)

13, 6, 7

97.
Determine if it is possible to form a triangle with the given side lengths. 15 in., 12 in., 2 in.
a)
yes
b)
no