AnswersFL-1206310-Geometry A - FlexConditional Statements and Equivalence

Conditional Statements and Equivalence — Unit test Answers

0 verified answers1 views
1
Free Preview

[BLANK]

A
2
B
6
C
7
D
10
2
Free Preview

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
3

A horizontal line has points A , E, D. A line extends vertically from point E to point C and forms a right angle at C E D. A line extends up and to the left from point E to point B.

Question illustration
A
∠CED measures 45°.
B
∠CED measures 180°.
C
∠AEC measures 90°.
D
∠AEC measures 45°.
4

Which is logically equivalent to the converse of a conditional statement?

A
the original conditional statement
B
the inverse of the original conditional statement
C
the contrapositive of the original conditional statement
D
the converse of the converse statement
5

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.
6

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
7

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
8

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
9

Given: AB = BCProve: B is the midpoint of AC.

Question illustration
A
two-column proof
B
one-paragraph proof
C
flowchart proof
D
two-paragraph proof
10

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°.
11

2 lines connect to form a right angle. A third line extends between the 2 lines to form 2 angles which are labeled 1 and 2.

Question illustration
A
30°
B
45°
C
50°
D
75°
12

Which best describes the dimensions of a plane?

A
A plane has zero dimensions because it represents a location on the coordinate plane.
B
A plane has one dimension because it is made up of an infinite number of points.
C
A plane has two dimensions because it is a flat surface that has length and width but no depth.
D
A plane has three dimensions because it is made up of exactly three noncollinear points.
13

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
14

Angle MON is a straight angle and bisects MOQ.

Question illustration
A
29°
B
58°
C
61°
D
122°
15

What value is a counterexample for the conditional statement shown?If a number between 0 and 100 is an odd perfect square, then the only factors of the number are 1, the number itself, and the square root of the number.

A
9
B
25
C
49
D
81
16

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.
17

A line contains points M, N, O, P, Q, R, S with arrows instead of endpoints.

Question illustration
A
point M
B
point N
C
point O
D
point R
18

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.
19

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°
20

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.

Did you find these answers helpful?