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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