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Geometric Transformations — Test Answers

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1
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Which rule describes the composition of transformations that maps figure ABCDE to figure cap A double prime cap b double prime cap c prime cap d double prime cap e double prime ?

A
r sub m circ cap r sub cap c prime comma 90 degrees
B
cap r sub cap c prime comma 90 degrees circ r sub m
C
r sub m circ cap r sub cap c prime comma 180 degrees
D
cap r sub cap c prime comma 180 degrees circ r sub m
2
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Which statement about the transformation is true?

A
It is nonrigid because no side lengths or angles are congruent.
B
It is nonrigid because all side lengths are congruent.
C
It is rigid because all side lengths and angles are congruent.
D
It is rigid because no side lengths or 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
r sub y - axis circ cap r sub o comma 270 degrees open paren x comma y close paren
C
cap t sub negative 2 comma 0 circ cap r sub o comma 270 degrees open paren x comma y close paren
D
cap r sub o comma 270 degrees circ cap t sub negative 2 comma 0 open paren x comma y close paren
4

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

A
A line of symmetry will connect the midpoints of 2 opposite sides.
B
It has 7-fold symmetry.
C
A line of symmetry will connect 2 vertices.
D
It has only 1 line of reflectional symmetry.
E
A line of symmetry will connect a vertex and a midpoint of an opposite side.
5

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

A
180 degrees
B
60 degrees
C
120 degrees
D
90 degrees
6

Which rule describes the transformation?

A
open paren x comma y close paren rightarrow open paren negative x comma negative y close paren
B
open paren x comma y close paren rightarrow open paren y comma x close paren
C
open paren x comma y close paren rightarrow open paren negative y comma negative x close paren
D
open paren x comma y close paren rightarrow open paren x comma negative y close paren
7

Which transformation maps the pre-image to the image?

A
reflection
B
translation
C
dilation
D
rotation
12

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

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 line y is equal to negative x
C
a reflection of the line segment across the x -axis
D
a reflection of the line segment across the y -axis
17

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 rectangle on a coordinate plane that is translated 4 units to the right and 6 units up
B
a trapezoid on a coordinate plane that is translated 4 units to the left and 6 units up
C
a parallelogram on a coordinate plane that is translated 4 units down and 6 units to the right
D
a rhombus on a coordinate plane that is translated 4 units down and 6 units to the left
19

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 2 comma 4 close paren
D
open paren 4 comma 2 close paren

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