AnswersFL-1206310-Geometry A - FlexUnit Test

Unit Test — Unit test Answers

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22
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Point G lies between points F and H on .

Question illustration
A
3
B
4
C
6
D
12
23
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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
25

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°
26

Which is a counterexample for the conditional statement shown?If the numerator of a fraction is larger than the denominator of the fraction, then the fraction is greater than 1.

A
any fraction with a denominator of 0
B
any fraction with a numerator of 0
C
any fraction with a positive numerator and a negative denominator
D
any fraction with a negative numerator and a positive denominator
27

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
28

If the statement is rewritten as a conditional statement in if-then form, which best describes the hypothesis?Two lines in a plane intersect at a point.

A
two lines in a plane intersect
B
two lines intersect at a point
C
a point exists
D
points are in a plane
29

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
30

When using a counterexample to prove a conditional statement false, which must be true about the counterexample?

A
There must be infinite counterexamples.
B
The counterexample must satisfy the hypothesis of the conditional statement.
C
There must be at least one example under which the conditional statement is true.
D
The counterexample must satisfy the conclusion of the conditional statement.
31

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
32

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
33

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.
34

[BLANK]

A
conclusion
B
given information
C
assumptions
D
argument
35

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.
36

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
37

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.
38

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°
39

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
40

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
41

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.
42

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.

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