AnswersOH-Geometry ACumulative Exam

Cumulative Exam — Cumulative exam Answers

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1
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Triangle EFG is transformed to create triangle E'F'G'.

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A
translation
B
stretch
C
rotation
D
reflection
2
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congruencesymmetricreflexivetransitive

A
congruence
B
symmetric
C
reflexive
D
transitive
3

Triangle JKL is transformed to create triangle J'K'L'. The angles in both triangles are shown.J = 90° J' = 90°K = 65° K' = 65°L = 25° L' = 25°

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A
It is a rigid transformation because the pre-image and image have the same corresponding angle measures.
B
It is not a rigid transformation because the corresponding side lengths are not equal.
C
It can be a rigid or a nonrigid transformation depending on whether the corresponding side lengths have the same measures.
D
It can be a rigid or a nonrigid transformation because a pair of corresponding angles measures 90°.
4

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)
5

A line contains the following points left to right: R, T, U, S. The space between R and T is 12 units. The space between R and S is 24 units.

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A
SU + UT = RT
B
RT + TU = RS
C
RS + SU = RU
D
TU + US = RS
6

Triangle DEF is an isosceles, so DEF DFE.

Question illustration
A
105°
B
125°
C
150°
D
165°
7

Which figures are shown in the diagram? Select three options.

A
line CD
B
point D
C
ray CD
D
ray DC
E
segment CD
8

Given that D is the midpoint of AB and B is the midpoint of AC, which statement must be true?

Question illustration
A
AD = AC
Option A
B
AC = 4DB
C
AB + DC = AC
D
BK = KC
9

Point S lies between points R and T on .

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A
2 centimeters
B
4 centimeters
C
6 centimeters
D
8 centimeters
10

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
11

On a coordinate plane, a triangle has points A prime (negative 2, 10), B prime (negative 6, 4), and (negative 10, 8).

Question illustration
A
(10, –2)
B
(–10, 2)
C
(–2, –10)
D
(2, 10)
12

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.
13

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
14

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

A
circle
B
line segment
C
perpendicular lines
D
ray
15

Which shows the pre-image of triangle X'Y'Z' before the figure was rotated 90° about the origin?

Question illustration
A
On a coordinate plane, a triangle has points X (2, negative 2), Y (6, 0), Z (1, 1).
Option A
B
On a coordinate plane, a triangle has points X (2, 2), Y (6, 0), and Z (1, negative 1).
Option B
C
On a coordinate plane, a triangle has points X (negative 2, negative 2), Y (6, 0), Z (negative 1, 1).
Option C
D
On a coordinate plane, a triangle has points X (negative 2, 2), Y (negative 6, 0), Z (negative 1, negative 1).
Option D
16

A regular polygon has possible angles of rotational symmetry of 20°, 40°, and 80°. How many sides does the polygon have?

A
10
B
12
C
18
D
20
17

A right angle intersects a line at point M.

Question illustration
A
They are congruent.
B
They are right angles.
C
They are complementary.
D
They are supplementary.
18

On a coordinate plane, 3 triangles are shown. Triangle A B C has points (5, 2), (2, 4), (2, 1). Triangle A prime B prime C prime has points (negative 2, 5), (negative 4, 2), (negative 1, 2). Triangle A double-prime B double-prime C double-prime has points (negative 2, negative 5), (negative 4, negative 2), (negative 1, negative 2).

Question illustration
A
90 degree rotation about point 0 composition reflection across the x-axis
Option A
B
Reflection across the x-axis composition 90 degree rotation about point 0
Option B
C
180 degree rotation about point 0 composition reflection across the x-axis
Option C
D
Reflection across the x-axis composition 180 degree rotation about point 0
Option D
19

Planes A and B intersect.

Question illustration
A
line CD
B
line ED
C
point C
D
point D
20

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

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