AnswersCA 2026 GeometryGeometric Transformations

Geometric Transformations — Test Answers

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1
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Which statement about the transformation is true?

A
It is rigid because no side lengths or angles are congruent.
B
It is nonrigid because no side lengths or angles are congruent.
C
It is nonrigid because all side lengths are congruent.
D
It is rigid because all side lengths and angles are congruent.
3

Which rule describes a composition of transformations that maps pre-image PQRS to image cap p double prime cap q double prime cap r double prime cap s double prime ?

A
cap r sub o comma 270 degrees circ r sub y - axis open paren x comma y close paren
B
cap t sub negative 2 comma 0 circ cap r sub o comma 270 degrees open paren x comma y close paren
C
cap r sub o comma 270 degrees circ cap t sub negative 2 comma 0 open paren x comma y close paren
D
r sub y - axis circ cap r sub o comma 270 degrees open paren x comma y close paren
4

Which transformation maps the pre-image to the image?

A
dilation
B
rotation
C
translation
D
reflection
6

Which statements are true about the reflectional symmetry of a regular heptagon? Choose two correct answers.

A
A line of symmetry will connect 2 vertices.
B
It has 7-fold symmetry.
C
A line of symmetry will connect the midpoints of 2 opposite sides.
D
A line of symmetry will connect a vertex and a midpoint of an opposite side.
E
It has only 1 line of reflectional symmetry.
7

What is m angle YXS ?

A
180 degrees
B
270 degrees
C
45 degrees
D
90 degrees
8

A line segment has endpoints at open paren negative 1 comma 4 close paren and open paren 4 comma 1 close paren Which reflection will produce an image with endpoints at open paren negative 4 comma 1 close paren and open paren negative 1 comma negative 4 close paren ?

A
a reflection of the line segment across the line y is equal to x
B
a reflection of the line segment across the y -axis
C
a reflection of the line segment across the line y is equal to negative x
D
a reflection of the line segment across the x -axis
12

The function rule cap t sub negative 4 comma 6 times open paren x comma y close paren could be used to describe which translation?

A
a rhombus on a coordinate plane that is translated 4 units down and 6 units to the left
B
a parallelogram on a coordinate plane that is translated 4 units down and 6 units to the right
C
a rectangle on a coordinate plane that is translated 4 units to the right and 6 units up
D
a trapezoid on a coordinate plane that is translated 4 units to the left and 6 units up
14

Right triangle LMN has vertices cap l times open paren 7 comma negative 3 close paren , cap m times open paren 7 comma negative 8 close paren , and cap n times open paren 10 comma negative 8 close paren The triangle is translated on the coordinate plane so the coordinates of cap l prime are open paren negative 1 comma 8 close paren Which rule was used to translate the image?

A
open paren x comma y close paren rightarrow open paren x plus 8 comma y minus 11 close paren
B
open paren x comma y close paren rightarrow open paren x minus 8 comma y plus 11 close paren
C
open paren x comma y close paren rightarrow open paren x minus 6 comma y plus 5 close paren
D
open paren x comma y close paren rightarrow open paren x plus 6 comma y minus 5 close paren
16

Triangle ABC is shown on the graph. What are the coordinates of the image of point cap b after the triangle is rotated 270 degrees about the origin?

A
open paren negative 4 comma negative 2 close paren
B
open paren negative 2 comma negative 4 close paren
C
open paren 4 comma 2 close paren
D
open paren 2 comma 4 close paren
18

At which angle will the hexagon rotate so that it maps onto itself?

A
60 degrees
B
180 degrees
C
120 degrees
D
90 degrees
19

Which rule describes the composition of transformations that maps triangle BCD to triangle cap b double prime cap c double prime cap d double prime ?

A
cap t sub 6 comma negative 5 circ r sub y - axis open paren x comma y close paren
B
r sub y is equal to negative x circ cap t sub 5 comma negative 6 open paren x comma y close paren
C
cap t sub 5 comma negative 6 circ r sub y is equal to negative x open paren x comma y close paren
D
r sub y - axis circ cap t sub 6 comma negative 5 open paren x comma y close paren

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