Unit Test — Cumulative exam Answers

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Which distance measures 5 units?

Question illustration
A
the distance between points W and X
B
the distance between points X and Y
C
the distance between points X and Z
D
the distance between points Y and Z
22
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On a coordinate plane, 2 triangles are shown. Triangle 1 has points at A (negative 3, 4), B (negative 2, 1), C (negative 4, 1). Triangle 2 has points at A prime (4, negative 2), B prime (3, negative 5), C prime (5, negative 5).

Question illustration
A
(x, y) → (x + 7, y + 6)
B
(x, y) → (x + 7, y – 6)
C
(x, y) → (x – 6, y + 7)
D
(x, y) → (x + 6, y + 7)
23

Which statements regarding are true? Select three options.

Question illustration
A
E F + F G greater-than E G
Option A
B
E G + F G greater-than E F
Option B
C
E G minus F G less-than E F
Option C
D
E F minus F G greater-than E G
Option D
E
E G + E F less-than F G
Option E
24

Triangle ABC is isosceles.

Question illustration
A
25°
B
30°
C
60°
D
75°
25

Four points partition the directed line segment from A to B.• Point P partitions the directed line segment from A to B into a 3:4 ratio. • Point Q partitions the directed line segment from A to B into a 4:3 ratio. • Point R partitions the directed line segment from A to B into a 2:5 ratio. • Point S partitions the directed line segment from A to B into a 5:2 ratio.

Question illustration
A
P
B
Q
C
R
D
S
26

Which is precisely defined using the undefined terms point and plane?

A
circle
B
line segment
C
perpendicular lines
D
ray
27

Quadrilateral A B C D is translated up and to the right and then is rotated 180 degrees about point Q to form quadrilateral X Y Z W.

Question illustration
A
ABCD ≅ WXYZ
B
ABCD ≅ ZYXW
C
ABCD ≅ WZYX
D
ABCD ≅ ZWXY
28

On a coordinate plane, a line goes through (negative 3, 2) and (2, negative 1). A point is at (3, 0).

Question illustration
A
3x + 5y = −9
B
3x + 5y = 9
C
5x − 3y = −15
D
5x − 3y = 15
29

Triangle ABC has the angle measures shown.

Question illustration
A
Measure of angle A = 20 degrees
Option A
B
Measure of angle B = 60 degrees
Option B
C
are complementary
Option C
D
Measure of angle A + measure of angle C = 100 degrees
Option D
30

Which statements about the diagram are true? Select three options.

A
x = 63
B
y = 47
C
z = 117
D
x + y = 180
E
x + z = 180
31

Angle KLM and angle MLN are a linear pair.

Question illustration
A
Angles RLN and MLK would be vertical angles.
B
Angles RLN and MLN would be vertical angles.
C
Angles RLN and KLM would be a linear pair.
D
Angles RLN and KLN would be a linear pair.
32

A line segment has endpoints at (3, 2) and (2, –3). Which reflection will produce an image with endpoints at (3, –2) and (2, 3)?

A
a reflection of the line segment across the x-axis
B
a reflection of the line segment across the y-axis
C
a reflection of the line segment across the line y = x
D
a reflection of the line segment across the line y = –x
33

On a coordinate plane, a square has points A (negative 5, 2), B (1, 2), C (negative 4, 1), and D (negative 5, negative 4).

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
35

Question text not available

Question illustration
A
If a triangle is equilateral, then the triangle must also be isosceles.
B
If a triangle is isosceles, then the triangle must also be equilateral.
C
If a triangle is isosceles, then the triangle will never also be equilateral.
D
If a triangle is equilateral, then the triangle will not always be isosceles.
36

Figure RHOM is a rhombus. and are the diagonals of the rhombus, as well as angle bisectors of the vertex angles, and they create four isosceles triangles: HOM, MHR, RHO, and OMR.

Question illustration
A
It must be acute.
B
It must be a right angle.
C
It must be equal to MRH.
Option C
D
It must be equal to RMS.
Option D
37

The proof that ΔABC ≅ ΔCDA is shown.Given: ∥ and ∥ Prove: ΔABC ≅ ΔCDA

Question illustration
A
perpendicular bisector theorem
B
Pythagorean theorem
C
HL theorem
D
SSS congruence theorem
38

What is the contrapositive of the statement?All squares are rectangles.

A
If a figure is a square, then it is a rectangle.
B
If a figure is a rectangle, then it is a square.
C
If a figure is not a square, then it is not a rectangle.
D
If a figure is not a rectangle, then it is not a square.
39

congruencesymmetricreflexivetransitive

A
congruence
B
symmetric
C
reflexive
D
transitive
40

On a coordinate plane, a graph shows Street on the x-axis and Avenue on the y-axis. A line is drawn from Tia to Lei. Tia is at (4, 8) and Lei is at (12, 20).

Question illustration
A
6th Street and 11th Avenue
B
10th Street and 17th Avenue
C
9th Street and 15th Avenue
D
8th Street and 14th Avenue

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