Unit Test — Unit test Answers

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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.
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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
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

Given:p: Angles XYZ and RST are vertical angles.q: Angles XYZ and RST are congruent.Which statement is logically equivalent to p → q?

A
If angles XYZ and RST are congruent, then they are vertical angles.
B
If angles XYZ and RST are not vertical angles, then they are not congruent.
C
If angles XYZ and RST are not congruent, then they are not vertical angles.
D
If angles XYZ and RST are vertical angles, then they are not congruent.
6

Question text not available

Question illustration
A
line XY
B
line XZ
C
line WX
D
line WZ
7

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
8

Point G lies between points F and H on .

Question illustration
A
3
B
4
C
6
D
12
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

Let p: The number is even.Let q: The number is prime.Which statement is represented by p ∧ q?

A
The number is even and prime.
B
The number is even or prime.
C
The number is even if the number is prime.
D
The number is prime if the number is even.
11

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.
12

Angle PSR measures 99°.

Question illustration
A
B
24°
C
45°
D
54°
13

Let p: A student plays basketball.Let q: A student plays tennis.

Question illustration
A
4
B
8
C
32
D
36
14

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
15

If an original conditional statement is represented using p → q, which represents the converse?

A
~p → ~q
B
~q → ~p
C
q → p
D
p → q
16

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
17

Let p: The shape is a rhombus.Let q: The diagonals are perpendicular.Let r: The sides are congruent.Which represents "The shape is a rhombus if and only if the diagonals are perpendicular and the sides are congruent”?

A
p ∧ (q ∧ r)
B
(p ∨ q) ∨ r
C
p ↔ (q ∧ r)
D
(p ∨ q) ↔ r
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
B
7.5°
C
25°
D
37.5°
19

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
20

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
21

What is the inverse of the conditional statement?If a polygon has five angles, then it is a pentagon.

A
If a polygon is a pentagon, then it has five angles.
B
If a polygon is not a pentagon, then it does not have five angles.
C
If a polygon does not have five angles, then it is not a pentagon.
D
If a polygon has five angles, then it is not a pentagon.

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