AnswersSASPBL SPRING 2026 VA-Geometry CRCumulative Exam

Cumulative Exam — Cumulative exam Answers

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21
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Which three-dimensional figure has nine edges?

A
rectangular prism
B
rectangular pyramid
C
triangular prism
D
triangular pyramid
22
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Triangle A E C is shown. Line segment B D is drawn near point C to form triangle B D C.

Question illustration
A
∠BDC and ∠AED are right angles
B
AE ≅ ED
C
△BDC is a right triangle
D
∠DBC ≅ ∠DCB
23

Triangle A B C is reflected and then dilated to form smaller triangle A double-prime B double-prime C double-prime

Question illustration
A
a rotation and a dilation
B
a rotation and a reflection
C
a reflection and a dilation
D
a translation and a dilation
24

The area of rectangle ABDE is 270 square inches. The rectangle is rotated about a line that passes through points C and F.

Question illustration
A
a rectangular prism with an edge length of 9 inches
B
a rectangular prism with an edge length of 18 inches
C
a cylinder with a base radius of 9 inches
D
a cylinder with a base radius of 18 inches
25

Which three-dimensional figure has the greatest number of faces?

A
hexagonal prism
B
octagonal pyramid
C
rectangular prism
D
pentagonal pyramid
26

Two similar triangles are shown.

Question illustration
A
rotated
B
reflected
C
translated
D
dilated
27

Which pair of figures has the same number of faces as vertices?

A
triangular prism and triangular pyramid
B
triangular prism and rectangular prism
C
rectangular pyramid and triangular pyramid
D
rectangular pyramid and rectangular prism
28

Which diagram could be used to prove △ABC ~ △DEC using similarity transformations?

A
Triangle A B C is reflected across side A C and then is dilated to form smaller triangle D C E.
Option A
B
Triangle A B C is reflected, translated to the left, and then is dilated to form triangle D C E.
Option B
C
Triangles A B C and D E C are shown. The angle measures differ between the 2 triangles.
Option C
D
Triangles A B C and D E C are connected at point C. The triangles are shaped differently.
Option D
29

Two similar triangles are shown.

Question illustration
A
rotated
B
reflected
C
translated
D
dilated
30

The equilateral triangle shown is rotated about line a. Each side of the triangle measures 20 mm.

Question illustration
A
a cylinder with a circumference of about 63 mm
B
a cylinder with a circumference of about 126 mm
C
a cone with a base circumference of about 63 mm
D
a cone with a base circumference of about 126 mm
31

Read the proof.Given: AB ∥ DEProve: △ABC ~ △EDC

Question illustration
A
AA similarity theorem
B
ASA similarity theorem
C
AAS similarity theorem
D
SAS similarity theorem
32

Which composition of transformations will create a pair of similar, not congruent triangles?

A
a rotation, then a reflection
B
a translation, then a rotation
C
a reflection, then a translation
D
a rotation, then a dilation
33

Question text not available

Question illustration
A
Option
Option A
B
and
Option B
C
and
Option C
D
and
Option D
34

Read the proof.Given: AEEC; BDDCProve: △AEC ~ △BDC

Question illustration
A
∠ACE ≅ ∠BCD
B
∠EAB ≅ ∠DBC
C
∠EAC ≅ ∠EAC
D
∠CBD ≅ ∠DBC
35

Right triangle ABC is reflected over AC, then dilated by a scale factor of to form triangle DEC. Which statements about the two triangles must be true? Select three options.

Question illustration
A
△ABC ~ △DEC
B
∠B ≅ ∠E
C
3BC = 2EC
D
3DE = 2AB
E
3m∠A = 2m∠D
F
2m∠A = 3m∠D
36

On a coordinate plane, triangle A B C has points (negative 9, 3), (negative 9, 6), (0, 3) and triangle A double-prime B double-prime C double-prime has points (3, negative 1), (3, negative 2), and (0, negative 1).

Question illustration
A
a reflection over the x-axis, then a dilation by a scale factor of 3
B
a reflection over the x-axis, then a dilation by a scale factor of
Option B
C
a 180° rotation about the origin, then a dilation by a scale factor of 3
D
a 180° rotation about the origin, then a dilation by a scale factor of
Option D

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