GEOMETRY

LG.1.G.4

Apply, with and without appropriate technology, definitions, theorems, properties, and postulates related to such topics as

complementary, supplementary, vertical angles, linear pairs, and angles formed by perp

endicular lines

Use the figure below to answer question 1.

1.

In triangle ABC shown above,

and

. The exterior angle at B measures

.

What is the value of

x

?

A.

30

B.

50

*

C

.

130

D.

140

2.

In the drawing

, which pair of angles

must

be supplementary?

A.

B.

*

C.

D.

(Not drawn to scale.)

GEOMETRY

LG.1.G.4

Apply, with and without appropriate technology, definitions, theorems, properties, and postulates related to such topics as

complementary, supplementary, vertical angles, linear pairs, and angles formed by perp

endicular lines

Use the figure below to answer question 3.

3.

In parallelogram RSTU, what is the measure of

?

*

A.

B.

C.

D.

4.

If

and

are vertical angles and are also complementary, what is the measure of

?

A.

B.

C.

D.

R

S

T

U

(Not drawn to scale.)

GEOMETRY

LG.1.G.4

Apply, with and without appropriate technology, definitions, theorems, properties, and postulates related to such topics as

complementary, supplementary, vertical angles, linear pairs, and angles formed by perp

endicular lines

5.

Given the information in the drawing shown below, what is the measure of angle

x

?

A.

B.

*

C.

D.

6.

Based on the figure shown below, which one of the following must be

false

?

A.

B.

*

C

.

D.

x

GEOMETRY

LG.1.G.4

Apply, with and without appropriate technology, definitions, theorems, properties, and postulates related to such topics as

complementary, supplementary, vertical angles, linear pairs, and angles formed by perp

endicular lines

Use the diagram below to answer question 7.

7.

What is the measure of angle ABC?

*

A.

B.

C.

D.

8.

The measures of 2 angles are

and

. These are examples of which type of angles?

A.

vertical angles

B.

a linear pair

C.

supplementary angles

*

D.

complementary angles

GEOMETRY

LG.1.G.4

Apply, with and without appropriate technology, definitions, theorems, properties, and postulates related to such topics as

complementary, supplementary, vertical angles, linear pairs, and angles formed by perp

endicular lines

Use the figure below to answer question 9.

9.

If

is

, what is the measure of

?

A.

B.

C.

*

D.

Use the figure below to answer question 10.

10.

overlaps

.

is formed.

What is the

in

?

A.

B.

C.

*

D.

GEOMETRY

LG.1.G.4

Apply, with and without appropriate technology, definitions, theorems, properties, and postulates related to such topics as

complementary, supplementary, vertical angles, linear pairs, and angles formed by perp

endicular lines

11.

Angle A and angle B are a linear

pair. Angle A has a measure of 36 degrees. What is the measure of angle

B?

A.

B.

*

C.

D.

12

.

What is the measure of each i

nterior angle of a regular decagon?

A.

B.

*

C.

D.

Use the figure below to answer question 13.

B

A

C

(Not drawn to scale.)

13.

Using the figure above, what is the measurement of

BAC?

A.

37°

B

.

53°

*

C.

62°

D.

65°

GEOMETRY

LG.1.G.4

Apply, with and without appropriate technology, definitions, theorems, properties, and postulates related to such topics as

complementary, supplementary, vertical angles, linear pairs, and angles formed by perp

endicular lines

Use the figure below to answer question 1

4

.

1

4

.

One pair of vert

ical angles is:

A.

B.

C.

*

D.

GEOMETRY

LG.1.G.4

Apply, with and without appropriate technology, definitions, theorems, properties, and postulates related to such topics as

complementary, supplementary, vertical angles, linear pairs, and angles formed by perp

endicular lines

15.

The figure below shows the intersection of two sets of railroad tracks.

What i

s

?

*

A. 37°

B. 53°

C. 127°

D. 143°

16.

What is the value of

x

in the figure below?

A. 37.5

*

B. 42.5

C. 47.5

D. 62.5

GEOMETRY

LG.1.G.4

Apply, with and without appropriate technology, definitions, theorems, properties, and postulates related to such topics as

complementary, supplementary, vertical angles, linear pairs, and angles formed by perp

endicular lines

Use the fi

gure below to answer question 17

.

17

.

A pole sits on level ground. The pole is leaning

to the left of vertical, as shown in the drawing. What is

the measure of

?

*

A.

B.

C.

D.

Use the fi

gure below to answer question 18

.

18

.

Which 2 angles in the regular hexagon above are supplementary?

A.

B.

C.

*

D.

GEOMETRY

LG.1.G.4

Apply, with and without appropriate technology, definitions, theorems, properties, and postulates related to such topics as

complementary, supplementary, vertical angles, linear pairs, and angles formed by perp

endicular lines

Use the fi

gure below to answer question 19

.

19

.

Line

a

and line

b

are parallel. Using the figure above, what is the measurement of

?

*

A.

B.

C.

D.

20

.

Ray AB is an angle bisector of

. Which statement must be true?

A.

Angle FAB and

each measure 45°.

B.

Angle FAB and

are

complementary angles.

C.

Angle FAB and

are a linear pair.

*

D.

Angle FAB and

are congruent.

GEOMETRY

LG.1.G.4

Apply, with and without appropriate technology, definitions, theorems, properties, and postulates related to such topics as

complementary, supplementary, vertical angles, linear pairs, and angles formed by perp

endicular lines

21

.

What is the ratio of m

to m

?

A.

B.

C.

*

D.

22

.

Point M is located on

. What is the value of

x

?

*

A.

18

B.

36

C.

90

D.

180

GEOMETRY

LG.1.G.4

Apply, with and without appropriate technology, definitions, theorems, properties, and postulates related to such topics as

complementary, supplementary, vertical angles, linear pairs, and angles formed by perp

endicular lines

23

.

In the triangle below, angles A and B may be classified as what type of angles?

*

A.

complementary

B.

supplementary

C.

linear

D.

right

24

.

Sara is making a shape with a piece of fabric. O

ne corner is cut at an angle of 29 degrees. The angle at the

opposite corner forms the complementary angle. What is the measure of the angle in the opposite corner?

A.

29°

B.

58°

*

C.

61°

D.

151°

GEOMETRY

LG.1.G.4

Apply, with and without appropriate technology, definitions, theorems, properties, and postulates related to such topics as

complementary, supplementary, vertical angles, linear pairs, and angles formed by perp

endicular lines

2

5

.

In the figure below,

lines BE, CG, and AD, as well as ray HF, intersect at point H.

Which pair of angles must be congruent?

*

A.

and

B.

and

C.

and

D.

and

GEOMETRY

LG.1.G.4

Apply, with and without appropriate technology, definitions, theorems, properties, and postulates related to such topics as

complementary, supplementary, vertical angles, linear pairs, and angles formed by perp

endicular lines

26

.

In the figure below, line SZ

XG.

Which pair of angles are adjacent and complem

entary?

A.

XKS and

GKS

*

B.

XKY and

ZKY

C.

YKS and

ZKT

D.

XKZ and

GKS

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