AnswersSASPBL SPRING 2026 VA-Geometry CRCumulative Exam

Cumulative Exam — Cumulative exam Answers

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Triangle ABC was reflected over line m, then dilated by a scale factor between 0 and 1. Which diagram illustrates these transformations?

A
Triangle A B C is reflected across line m and then is dilated to form smaller triangle A double-prime B double-prime C double-prime
Option A
B
Triangle A B C is rotated about line m and then dilated to form smaller triangle A double-prime B double-prime C double-prime
Option B
C
Triangle A B C is reflected across line m and then is dilated to form larger triangle A double-prime B double-prime C double-prime
Option C
D
Triangle A B C is rotated about line m and then dilated to form larger triangle A double-prime B double-prime C double-prime
Option D
2
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Triangles R S T and V U T are connected at point T.

Question illustration
A
RT = ST
B
3ST = UT
C
∠R ≅ ∠V
D
∠V ≅ ∠U
3

Which of these shapes have rectangular cross sections when they are cut perpendicular to the base? Select three options.rectangular prismtriangular prismcylinderconesquare pyramidtriangular pyramid

A
rectangular prism
B
triangular prism
C
cylinder
D
cone
E
square pyramid
F
triangular pyramid
4

Which three-dimensional figure has half the number of vertices as the rectangular prism?

A
hexagonal prism
B
rectangular pyramid
C
triangular prism
D
triangular pyramid
5

The rectangle shown is rotated about line k.

Question illustration
A
31 sq. in.
B
50 sq. in.
C
79 sq. in.
D
314 sq. in.
6

ΔXYZ was reflected over a vertical line, then dilated by a scale factor of , resulting in ΔX'Y'Z'. Which must be true of the two triangles? Select three options.

Question illustration
A
△XYZ ~ △X'Y'Z'
B
XZY ≅ Y'Z'X'
Option B
C
YX ≅ Y'X'
D
XZ = 2X'Z'
E
mYXZ = 2mY'X'Z'
Option E
7

A cylinder is shown.

Question illustration
A
line
B
non-square rectangle
C
circle
D
square
8

Triangle A B C is reflected across side A C and then is dilated to form smaller triangle D C E. Angles B C A and D C E are right angles.

Question illustration
A
The triangles are not similar because only one pair of corresponding angles is congruent.
B
The triangles are similar because all right triangles can be mapped to each other using a series of transformations.
C
The triangles are not similar because they share a common segment and vertex.
D
The triangles are similar because all pairs of corresponding angles are congruent.
9

Which shape has a vertex that is also an apex?

A
sphere
B
prism
C
cylinder
D
pyramid
10

Which three-dimensional figure has exactly three rectangular faces?

A
rectangular prism
B
rectangular pyramid
C
triangular prism
D
triangular pyramid
11

The composition is applied to △RST to create the image of △R"S"T", which is not shown.

Question illustration
A
(negative three-halves, nine-halves)
Option A
B
(negative nine-halves, fifteen-halves)
Option B
C
(nine-halves, negative three-halves)
Option C
D
(negative fifteen-halves, 0)
Option D
12

The square shown has a perimeter of 32 units. The square is rotated about line k.

Question illustration
A
a cone with a base circumference of about 25 units
B
a cone with a base circumference of about 50 units
C
a cylinder with a circumference of about 25 units
D
a cylinder with a circumference of about 50 units
13

Quadrilateral ABDE is a rectangle. DE = 4 in. and BD = 6 in.If the rectangle is rotated about a line through CF, cylinder Y is created. If the rectangle is rotated about a line through GH, cylinder Z is created.

Question illustration
A
1
B
2
C
4
D
5
14

Quadrilateral ABDE is a rectangle. AB = 10 cm and AE = 16 cm.

Question illustration
A
D and E
B
B and D
C
C and F
D
G and H
15

How many vertices does a triangular prism have?

A
4
B
5
C
6
D
9
16

Multiple similarity transformations are performed on a triangle. Which elements must be preserved?

A
orientation
B
side length
C
angle measure
D
overall size
17

The triangle shown is rotated about line m.

Question illustration
A
38 sq. cm
B
113 sq. cm
C
201 sq. cm
D
314 sq. cm
18

Two different cross sections are taken parallel to the base of a three-dimensional figure. The two cross sections are the same shape, but are not congruent.Which could be the three-dimensional figure? Select three options.

A
cone
B
cylinder
C
triangular prism
D
triangular pyramid
E
square pyramid
19

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

A
Triangle A B C is rotated about point C and then is dilated to form smaller triangle C E D.
Option A
B
Triangle A B C is reflected across side A C and then is dilated to form smaller triangle C E D.
Option B
C
Triangles A B C and C E D have different angle measures.
Option C
D
Right triangle A B C is shown. Line segment D E is drawn near point C to form triangle D E C.
Option D
20

The perimeter of the rectangle shown is 76 cm. It is rotated about line b.

Question illustration
A
a cone with a base radius of 26 cm
B
a cone with a base radius of 14 cm
C
a cylinder with a base radius of 26 cm
D
a cylinder with a base radius of 14 cm

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