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Foundations of Euclidean Geometry — Test Answers

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

A
Image with description On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 2, 1), (negative 2, negative 1), (0, negative 2), (0, negative 4), (2, negative 5).
B
Image with description On a coordinate plane, solid circles appear at the following points: (negative 4, negative 4), (negative 2, 2), (1, 1), (2, negative 5), (4, negative 3), (4, 4).
C
Image with description On a coordinate plane, solid circles appear at the following points: (negative 2, 3), (negative 1, 2), (1, 1), (2, negative 1), (2, negative 3), (4, negative 5).
D
Image with description On a coordinate plane, solid circles appear at the following points: (negative 3, 2), (negative 2, 2), (0, 1), (1, 3), (2, negative 4), (4, negative 1).
4

Two lines intersecting at a right angle

A
are parallel.
B
are perpendicular.
C
form a ray.
D
form a line.
6

Which statement is true about line h ?

A
Line h has points on planes cap r , cap p , and cap t .
B
Line h intersects line f at two points, cap A and cap b .
C
Line h intersects plane cap p at point cap c .
D
Line h is the intersection of planes cap r and cap t .
7

Which statement is true about angles 3 and 5?

A
They are acute.
B
They are complementary.
C
They are congruent.
D
They are supplementary.
8

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

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

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

A
angle CEF is a straight angle.
B
m angle CEA is equal to 90 degrees
C
m angle CEB is equal to 2 times open paren m angle CEA close paren
D
m angle CEF is equal to m angle CEA plus m angle BEF
E
angle AEF is a right angle.
10

What is the missing reason in the proof?

A
segment addition property
B
definition of angle bisector
C
transitive property
D
definition of congruent angles
11

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

A
5 degrees
B
25 degrees
C
7.5 degrees
D
37.5 degrees
12

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 ACE is equal to 1 half measure of angle ACD
C
measure of angle ECD is equal to 1 half measure of angle ECB
D
angle ECD is congruent to angle ACD
13

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

A
angle KNJ is supplementary to angle MNL .
B
angle GNJ is complementary to angle JNK .
C
angle GNM is supplementary to angle JNK .
D
angle MNG is complementary to angle GNJ .
E
angle MNL is complementary to angle KNL .
16

What is the missing reason in step 3?

A
substitution property of equality
B
angle addition postulate
C
subtraction property of equality
D
addition property of equality
21

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 AF
C
over right arrow AB and over right arrow AE
D
over right arrow AC and over right arrow AE

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