AnswersFL-1206310-Geometry A - FlexConditional Statements and Equivalence

Conditional Statements and Equivalence — Unit test Answers

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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
2
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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
3

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
4

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
5

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
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

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
8

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.
9

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
10

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.
11

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
12

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
13

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.
14

Point G lies between points F and H on .

Question illustration
A
3
B
4
C
6
D
12
15

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
16

In the diagram, what is mVSR?mVSR = °

Answer not available
17

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
18

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
19

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
20

Two lines intersecting at a right angle

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

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