AnswersGeometryFoundations of Euclidean Geometry

Foundations of Euclidean Geometry — Test Answers

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1
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Which statements are true about the figure? Choose two correct answers.

A
angle MNL is complementary to angle KNL .
B
angle GNJ is complementary to angle JNK .
C
angle MNG is complementary to angle GNJ .
D
angle GNM is supplementary to angle JNK .
E
angle KNJ is supplementary to angle MNL .
2
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Ray CE is the angle bisector of angle ACD Which statement about the figure must be true?

A
angle ACE is congruent to angle DCB
B
measure of angle ECD is equal to 1 half measure of angle ECB
C
angle ECD is congruent to angle ACD
D
measure of angle ACE is equal to 1 half measure of angle ACD
3

Question text not available

Answer:

80

4

In the diagram, what is the measure of angle WRS ?

A
37.5 degrees
B
25 degrees
C
5 degrees
D
7.5 degrees
5

Which value is an input of the function?

A
0
B
negative 2
C
4
D
negative 14
6

If the length of cap f cap h is 18 units, what is the value of x ?

A
6
B
4
C
3
D
12
7

In which diagram do angles 1 and 2 form a linear pair?

A
Image with description Two lines intersect at a point, forming four angles. Angle 1 is on the left side of the intersection, and angle 2 is on the right side of the intersection.
B
Image with description A horizontal line passes through a point. Two rays extend upward from the point, one to the upper left and one to the upper right. Angle 1 is between the left side of the horizontal line and the upper-left ray. Angle 2 is between the two upward rays. Angle 3 is between the upper-right ray and the right side of the horizontal line.
C
Image with description A ray extends upward and to the right from a point on a horizontal line. Angle 1 is between the left side of the horizontal line and the ray. Angle 2 is between the ray and the right side of the horizontal line.
D
Image with description Three rays extend from the same point. One ray extends horizontally to the left, one extends vertically downward, and one extends diagonally downward to the left. A right-angle marker is shown between the horizontal and vertical rays. Angle 1 is between the horizontal ray and the diagonal ray. Angle 2 is between the diagonal ray and the vertical ray.
8

The volume of air inside a rubber ball with radius r can be found using the function V of r is equal to 4 thirds pi r cubed What does V of 5 sevenths represent?

A
that the volume of the rubber ball is 7 cubic feet when the radius is 5 feet
B
that the volume of the rubber ball is 5 cubic feet when the radius is 7 feet
C
the volume of the rubber ball when the radius equals 5 sevenths feet
D
the radius of the rubber ball when the volume equals 5 sevenths cubic feet
10

Two lines intersecting at a right angle

A
are perpendicular.
B
form a ray.
C
are parallel.
D
form a line.
11

Which graph shows a set of ordered pairs that represent a function?

A
Image with description A coordinate plane with 6 plotted points. The x and y-axes are labeled from negative 5 to 5 in increments of 1. The points are plotted at negative 2 comma 3, negative 2 comma 2, 0 comma 1, 1 comma 1, 4 comma 4, and 1 comma negative 4.
B
Image with description A coordinate plane with 5 plotted points. The x and y-axes are labeled from negative 5 to 5 in increments of 1. The points are plotted at negative 3 comma 2, negative 3 comma 3, 0 comma 1, 1 comma 3, and 2 comma negative 4.
C
Image with description A coordinate plane with 6 plotted points. The x and y-axes are labeled from negative 5 to 5 in increments of 1. The points are plotted at negative 2 comma 3, negative 1 comma 2, 1 comma 1, 2 comma 0, 3 comma negative 3, and 4 comma negative 5.
D
Image with description A coordinate plane with 5 plotted points. The x and y-axes are labeled from negative 5 to 5 in increments of 1. The points are plotted at negative 5 comma 3, negative 3 comma 1, negative 1 comma negative 2, 0 comma negative 2, and 0 comma negative 5.
12

Which reason justifies the statement that angle KLC is complementary to angle KJC ?

A
All angles in a rectangle are right angles.
B
Angles that are congruent are supplementary to the same angle.
C
Angles that are congruent are complementary to the same angle.
D
Complementary angles are always also congruent.
13

Given that over right arrow EB bisects angle CEA , which statements must be true? Choose three correct answers.

A
m angle CEA is equal to 90 degrees
B
angle CEF is a straight angle.
C
angle AEF is a right angle.
D
m angle CEB is equal to 2 times open paren m angle CEA close paren
E
m angle CEF is equal to m angle CEA plus m angle BEF
14

What is the measure of angle TSU ?

A
75 degrees
B
45 degrees
C
65 degrees
D
25 degrees
15

Which is the line shown in the figure?

A
line XZ
B
line XY
C
line WX
D
line WZ
16

Which rays are part of line BE ?

A
over right arrow AC and over right arrow AB
B
over right arrow AB and over right arrow AE
C
over right arrow AC and over right arrow AE
D
over right arrow AB and over right arrow AF
17

What is the missing reason in the proof?

A
definition of congruent angles
B
segment addition property
C
transitive property
D
definition of angle bisector
18

What is the measure of angle cap p cap s cap q in degrees?

A
45 degrees
B
24 degrees
C
54 degrees
D
9 degrees
19

What is f of 0 ?

A
7
B
5
C
4
D
6
21

What is the domain of the given function?

A
start set x such that x is equal to negative 6 comma negative 1 comma 0 comma 3 end set
B
start set y such that y is equal to negative 7 comma negative 2 comma 1 comma 9 end set
C
start set y such that y is equal to negative 7 comma negative 6 comma negative 2 comma negative 1 comma 0 comma 1 comma 3 comma 9 end set
D
start set x such that x is equal to negative 7 comma negative 6 comma negative 2 comma negative 1 comma 0 comma 1 comma 3 comma 9 end set
22

Which value is an output of the function?

A
negative 2
B
negative 6
C
4
D
7

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