Unit Test — Unit test Answers

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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
2
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Angle RST is a right angle. Angle RSU has a measure of 25°.

Question illustration
A
25°
B
45°
C
65°
D
75°
3

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
4

Question text not available

Question illustration
A
line XY
B
line XZ
C
line WX
D
line WZ
5

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
6

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

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.
8

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
9

A line contains points F, G, H, I, J. The space between F G is 2. The space between H and I is 1. The space between F and I is 7.

Question illustration
A
3 units
B
4 units
C
5 units
D
6 units
10

Line segment AB measures 18 units. What is d, the distance between tick marks on the number line?

Question illustration
A
1 unit
B
2 units
C
3 units
D
9 units
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

[BLANK]

A
conclusion
B
given information
C
assumptions
D
argument
14

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.
15

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
16

Point G lies between points F and H on .

Question illustration
A
3
B
4
C
6
D
12
17

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.
18

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°
19

Two lines intersecting at a right angle

A
form a line.
B
are parallel.
C
are perpendicular.
D
form a ray.
20

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.
21

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

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