AnswersFL-1206310-Geometry A - FlexConditional Statements and Equivalence

Conditional Statements and Equivalence — Unit test Answers

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3 lines are shown. A line with points P, R, N intersects a line with points M, R, O at point R. A line extends from point R to point L between angle P R M.

Question illustration
A
PRL and LRM
Option A
B
ORP and MRN
Option B
C
MRN and NRO
Option C
D
LRP and ORP
Option D
3
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Four lines extend from point K. The space between lines K J and K N is 58 degrees. The space between lines K N and K M is 61 degrees. The space between lines K M and K L is 61 degrees.

Question illustration
A
Point K is a midpoint of .
Option A
B
mJKN = mJKM
Option B
C
Ray KM is an angle bisector of NKL.
Option C
D
JK = KL
Option D
4

Inductive and deductive reasoning differ in which way?

A
Conclusions drawn using deductive reasoning are always false, while conclusions drawn using inductive reasoning are always true.
B
Conclusions drawn using inductive reasoning are always valid, while conclusions drawn using deductive reasoning may or may not be valid.
C
Conclusions drawn using inductive reasoning are always false, while conclusions drawn using deductive reasoning are always true.
D
Conclusions drawn using deductive reasoning are always valid, while conclusions drawn using inductive reasoning may or may not be valid.
5

Angles 1 and 2 are supplementary.

Question illustration
A
m1 + m2 = 90°
Option A
B
m1 + m2 = 100°
Option B
C
m1 + m2 = 180°
Option C
D
m1 + m2 = 200°
Option D
6

The converse of a conditional statement is "If the sum of the exterior angles of a figure is 360°, then the figure is a polygon.”What is the inverse of the original conditional statement?

A
If a figure is a polygon, then the sum of the exterior angles is 360°.
B
If the sum of the exterior angles of a figure is not 360°, then the figure is not a polygon.
C
If the sum of the exterior angles of a figure is 360°, then the figure is not a polygon.
D
If a figure is not a polygon, then the sum of the exterior angles is not 360°.
7

Angle RSU is complementary to angle UST. Angle QSR is congruent to angle RSU.

Question illustration
A
They are complementary.
B
They are supplementary.
C
They are congruent.
D
They are obtuse.
9

Angle MON is a straight angle and bisects MOQ.

Question illustration
A
29°
B
58°
C
61°
D
122°
10

What is the converse of the statement?Perpendicular lines have negative reciprocal slopes.

A
If lines have negative reciprocal slopes, then they are perpendicular.
B
If lines are perpendicular, then they have negative reciprocal slopes.
C
If lines do not have negative reciprocal slopes, then they are not perpendicular.
D
If lines are not perpendicular, then they do not have negative reciprocal slopes.
11

Which statement can be concluded using the true statements?If a quadrilateral has 4 equal sides and 4 equal angles, then it is a square.If a figure is a square, then each of its angles must measure 90 degrees.

A
If a quadrilateral has 4 equal sides and 4 equal angles, then each of its angles must measure 90 degrees.
B
If a quadrilateral has 4 equal sides and 4 equal angles, then none of its angles measures 90 degrees.
C
If all four angles in a quadriateral measure 90 degrees, the quadrilateral is a square.
D
If all four angles in a quadriateral measure 90 degrees, the quadrilateral cannot be a square.
12

In the diagram, which angles form a linear pair? Select three options.

A
RST and RSV
Option A
B
RST and TSU
Option B
C
RST and VSU
Option C
D
TSU and USV
Option D
E
TSU and RSV
Option E
13

A circle is inscribed with 3 lines. Point x is at the center of the circle. A vertical line goes through point x to point z on the edge of the circle. A horizontal line goes through point x to point y on the edge of the circle. A diagonal line goes through point x to point w on the edge of the circle.

Question illustration
A
Line segment Y Z
Option A
B
Line segment W Y
Option B
C
Line segment X Z
Option C
D
Line segment W Z
Option D
14

3 lines are shown. A line with points M, H, K intersects a line with points J, H, L at point H. A line extends from point H to point P between angle K H J. Angle M H L is 140 degrees and angle K H P is 20 degrees.

Question illustration
A
100°
B
120°
C
140°
D
160°
15

Which statements are true based on the diagram? Select three options.

A
Plane S contains points B and E.
B
The line containing points A and B lies entirely in plane T.
C
Line v intersects lines x and y at the same point.
D
Line z intersects plane S at point C.
E
Planes R and T intersect at line y.
16

What is the format of this proof?Given: ∠ABC is a right angle, ∠DBC is a straight angleProve: ∠ABD is a right angle

Question illustration
A
two-column proof
B
two-paragraph proof
C
flowchart proof
D
one-paragraph proof
17

Which two undefined geometric terms always describe figures with no beginning or end?

A
a line and a plane
B
a line and a point
C
a distance and a plane
D
a distance and a point
18

Which defines a line segment?

A
two rays with a common endpoint
B
a piece of a line with two endpoints
C
a piece of a line with one endpoint
D
all points equidistant from a given point
19

Which statements are true based on the diagram? Select two options.

A
Points K, M, and N are collinear.
B
Points J, K, and Q are collinear.
C
Point R is the intersection of line KN and line MQ.
D
Lines JQ, KM, and MQ all intersect at point K.
E
There is only one line that can be drawn through points L and P.
20

Two lines extend from point S to create a right angle. The vertical line extends from point S through point R. The horizontal line extends right from point S through point T. A third line extends right and up from point S through point U.

Question illustration
A
TSR
Option A
B
TSU
Option B
C
USR
Option C
D
UTS
Option D
21

Angles X and Y are supplementary. Angle X is 3 times the measure of angle Y. What is the measure of angle X?

A
45°
B
60°
C
120°
D
135°
22

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A
2
B
6
C
7
D
10

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