AnswersGeometry - Semester 1 PathwaysComplementary and Supplementary Angles

Complementary and Supplementary Angles — Unit test Answers

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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.
7

Angle PSR measures 99°.

Question illustration
A
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
10

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.
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

Two lines intersecting at a right angle

A
form a line.
B
are parallel.
C
are perpendicular.
D
form a ray.
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.
15

Which statements are true about the figure? Select two options.

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

In the diagram, CE=12 units and BE=5 units.

Question illustration
A
2 units
B
7 units
C
12 units
D
17 units
17

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
18

Question text not available

Question illustration
A
line XY
B
line XZ
C
line WX
D
line WZ

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