AnswersDL Geometry AUnit Test

Unit Test — Unit test Answers

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1
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A
conclusion
B
given information
C
assumptions
D
argument
2
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Given that bisects ∠CEA, which statements must be true? Select three options.

Question illustration
A
m∠CEA = 90°
B
m∠CEF = m∠CEA + m∠BEF
C
m∠CEB = 2(m∠CEA)
D
∠CEF is a straight angle.
E
∠AEF is a right angle.
3

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
4

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
5

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°
6

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.
7

Question text not available

Question illustration
A
line XY
B
line XZ
C
line WX
D
line WZ
8

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
9

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

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

In the diagram, what is mVSR?mVSR = °

Answer:

109701

12

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
13

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
14

Two lines intersecting at a right angle

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

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
16

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.
17

Which pair of undefined terms is used to define a ray?

A
line and plane
B
plane and line segment
C
point and line segment
D
point and line
18

A two-column proof

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

2 intersecting lines are shown. A line with point T, R, W intersects a line with points S, R, V at point R. Clockwise, from the top left, the angles are (2 x + 10) degrees, blank, blank, (x minus 10) degrees.

Question illustration
A
20°
B
50°
C
60°
D
130°
20

Which pair of undefined terms is used to define the term parallel lines?

A
point and line
B
plane and line
C
point and ray
D
ray and line

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