AnswersAZ-Common Core Geometry AComplementary and Supplementary Angles

Complementary and Supplementary Angles — Unit test Answers

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3 lines are shown. A line with points T, R, W intersects a line with points V, R, S at point R. A line extends from point R to point Z between angle V R W. Angle V R T is (5 x) degrees and angle T, R, S is (25 x + 30) degrees.

Question illustration
A
5°
B
7.5°
C
25°
D
37.5°
2
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A
conclusion
B
given information
C
assumptions
D
argument
3

What is the missing reason in the proof?Given: ∠ABC is a right angle, ∠DBC is a straight angleProve: ∠ABC ≅ ∠ABD

Question illustration
A
definition of angle bisector
B
segment addition property
C
definition of congruent angles
D
transitive property
4

Two parallel lines are crossed by a transversal.

Question illustration
A
y = 40
B
y = 80
C
y = 100
D
y = 120
5

Which figures can be precisely defined by using only undefined terms? Select three options.

A
angle
B
arc
C
circle
D
line segment
E
parallel lines
6

A horizontal line contains points A, C, B. 2 lines extend from point C. A line extends to point E and another line extends to point D. An arc represents angle A C D.

Question illustration
A
mECD = mECB
Option A
B
mACE = mACD
Option B
C
ACE DCB
Option C
D
ECD ACD
Option D
7

Angle PSR measures 99°.

Question illustration
A
9°
B
24°
C
45°
D
54°
8

Given: and Prove: What is the missing reason in the proof?

Question illustration
A
given
B
transitive property
C
alternate interior angles theorem
D
converse alternate interior angles theorem
9

What is the distance between points A and B?

Question illustration
A
units
Option A
B
units
Option B
C
5 units
D
6 units
10

Figure JKLM is a rectangle, so mKJM = mKLM = 90° and KJC MLC.

Question illustration
A
Angles that are congruent are complementary to the same angle.
B
Angles that are congruent are supplementary to the same angle.
C
All angles in a rectangle are right angles.
D
Complementary angles are always also congruent.
11

Which diagram shows lines that must be parallel lines cut by a transversal?

A
2 horizontal lines are intersected by a third line. At the intersection of the first line with the third line, the bottom left angle is 115 degrees. At the intersection of the second line with the third line, the uppercase left angle is 65 degrees.
Option A
B
2 horizontal lines are intersected by a third line. At the intersection of the first line with the third line, the bottom left angle is 115 degrees and the bottom right angle is 65 degrees.
Option B
C
2 horizontal lines are intersected by a third line. At the intersection of the first line with the third line, the top right angle is 115 degrees. At the intersection of the second line with the third line, the uppercase left angle is 115 degrees.
Option C
D
2 horizontal lines are intersected by a third line. At the intersection of the first line with the third line, the uppercase left angle is 65 degrees and the bottom right angle is 65 degrees.
Option D
12

Based on this information, which pair of lines, together, could be perpendicular to RS? Select two options.

A
Line E A
Option A
B
Line E R
Option B
C
Line E F
Option C
D
Line F G
Option D
E
Line F S
Option E
13

The diagram shows several planes, lines, and points.

Question illustration
A
Line h intersects line f at two points, A and B.
B
Line h is the intersection of planes R and T.
C
Line h intersects plane P at point C.
D
Line h has points on planes R, P, and T.
14

Two parallel lines are intersected by a third line so that angles 1 and 5 are congruent.

Question illustration
A
They are acute.
B
They are congruent.
C
They are complementary.
D
They are supplementary.
15

Angle RST is a right angle. Angle RSU has a measure of 25°.

Question illustration
A
25°
B
45°
C
65°
D
75°
16

Given: mTRV = 60° mTRS = (4x)°Prove: x = 30What is the missing reason in step 3?

Question illustration
A
substitution property of equality
B
angle addition postulate
C
subtraction property of equality
D
addition property of equality
17

3 lines are shown. One line has points B, A, and E. Another line with points C, A, F intersects that line at point A. Another line comes out of point A and contains point D.

Question illustration
A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
18

A flowchart proof

A
contains a set of sentences explaining the steps needed to reach a conclusion.
B
uses inductive reasoning to prove a statement.
C
uses a visual representation of the logical flow of steps needed to reach a conclusion.
D
contains a table with a logical series of statements and reasons that reach a conclusion.
19

Which undefined geometric term is described as an infinite set of points that has length but not width?

A
distance
B
line
C
plane
D
sphere
20

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

A
2 lines intersect and form 4 angles. Labeled clockwise from the top: blank, 2, blank, 1.
Option A
B
3 lines extend from a point and form 2 angles, labeled 1 and 2. Both angles add up to 90 degrees.
Option B
C
A horizontal line has 2 lines extending from a midpoint forming 3 angles. Labeled from left to right: 1, 2, 3.
Option C
D
A horizontal line has 1 line extending from it. Angles 1 and 2 are formed.
Option D

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