Congruence: Part One — Test Answers

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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
It has only 1 line of reflectional symmetry.
D
A line of symmetry will connect a vertex and a midpoint of an opposite side.
E
A line of symmetry will connect 2 vertices.
3

The first transformation for this composition is [________], and the second transformation is a reflection across line c

A
a translation up and to the right
B
a translation down and to the left
C
a 180 degrees rotation about point cap g
D
a 180 degrees rotation about point cap h
4

What is m angle YXS ?

A
90 degrees
B
180 degrees
C
270 degrees
D
45 degrees
5

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

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

Which statement about the transformation is true?

A
It is rigid because no side lengths or angles are congruent.
B
It is nonrigid because all side lengths are congruent.
C
It is nonrigid because no side lengths or angles are congruent.
D
It is rigid because all side lengths and angles are congruent.
9

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 4 comma 2 close paren
C
open paren negative 2 comma negative 4 close paren
D
open paren 2 comma 4 close paren
11

Which rule describes the transformation?

A
open paren x comma y close paren rightarrow open paren y comma x close paren
B
open paren x comma y close paren rightarrow open paren x comma negative y close paren
C
open paren x comma y close paren rightarrow open paren negative x comma negative y close paren
D
open paren x comma y close paren rightarrow open paren negative y comma negative x close paren
13

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 cap t sub negative 2 comma 0 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 r sub o comma 270 degrees circ r sub y - axis open paren x comma y close paren
D
cap t sub negative 2 comma 0 circ cap r sub o comma 270 degrees open paren x comma y close paren
14

Which transformation maps the pre-image to the image?

A
dilation
B
rotation
C
translation
D
reflection
15

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
cap r sub cap c prime comma 180 degrees circ r sub m
B
r sub m circ cap r sub cap c prime comma 180 degrees
C
cap r sub cap c prime comma 90 degrees circ r sub m
D
r sub m circ cap r sub cap c prime comma 90 degrees
17

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 minus 8 comma y plus 11 close paren
B
open paren x comma y close paren rightarrow open paren x plus 6 comma y minus 5 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 8 comma y minus 11 close paren
18

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

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