AnswersGeometryGeometric Transformations

Geometric Transformations — Test Answers

20 verified answers2 views
1
Free Preview

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

Which rule describes the transformation?

A
open paren x comma y close paren rightarrow open paren x comma negative y close paren
B
open paren x comma y close paren rightarrow open paren negative x comma negative y 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 y comma x close paren
6

What is m angle YXS ?

A
270 degrees
B
180 degrees
C
90 degrees
D
45 degrees
7

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

A
a translation down and to the left
B
a translation up and to the right
C
a 180 degrees rotation about point cap g
D
a 180 degrees rotation about point cap h
8

Emma reflected the triangle across the x -axis and then rotated the figure 90 degrees counterclockwise about the origin. Which triangle cap A prime cap b prime cap c prime did she end up with?

A
Image with description On a coordinate plane, a triangle has point A prime at negative 1 comma 1, point B prime at negative 3 comma 2, and point C prime at negative 4 comma 1.
B
Image with description On a coordinate plane, a triangle has point A prime at 1 comma 1, point B prime at 3 comma 2, and point C prime at 4 comma 1.
C
Image with description On a coordinate plane, a triangle has point A prime at negative 2 comma 4, point B prime at negative 1 comma 2, and point C prime at negative 2 comma 1.
D
Image with description On a coordinate plane, a triangle has point A prime at 1 comma 1, point B prime at 2 comma 3, and point C prime at 1 comma 4.
12

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
13

What are the coordinates of the image of vertex cap f after a reflection across the line y is equal to negative x ?

A
open paren 3 comma negative 1 close paren
B
open paren negative 3 comma 1 close paren
C
open paren 1 comma 3 close paren
D
open paren negative 1 comma negative 3 close paren
14

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
r sub y - axis circ cap r sub o comma 270 degrees 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
cap r sub o comma 270 degrees circ r sub y - axis open paren x comma y close paren
15

Ramon translated the rectangle 6 units up and 2 units right. What is the new rectangle that Ramon drew?

A
Image with description On a coordinate plane, a rectangle has point A prime at negative 2 comma 0, point B prime at negative 2 comma negative 2, point C prime at 1 comma 0, and point D prime at 1 comma negative 2.
B
Image with description On a coordinate plane, a rectangle has point A prime at 2 comma 0, point B prime at 2 comma negative 2, point C prime at 5 comma 0, and point D prime at 5 comma negative 2.
C
Image with description On a coordinate plane, a rectangle has point A prime at negative 2 comma 4, point B prime at negative 2 comma 2, point C prime at 1 comma 4, and point D prime at 1 comma 2.
D
Image with description On a coordinate plane, a rectangle has point A prime at negative 4 comma 4, point B prime at negative 4 comma 2, point C prime at negative 1 comma 4, and point D prime at negative 1 comma 2.
17

Which describes the transformation of triangle ABC to triangle A prime B prime C prime ?

A
r sub x minus A x i s
B
r sub y minus A x i s
C
R sub 0 comma 90 degrees
D
R sub 0 comma 270 degrees
18

Which statement about the transformation is true?

A
It is rigid because no side lengths or angles are congruent.
B
It is rigid because all side lengths and angles are congruent.
C
It is nonrigid because no side lengths or angles are congruent.
D
It is nonrigid because all side lengths are congruent.
19

What are two possible transformations that together could have been used to create figure cap A prime cap b prime cap c prime cap d prime from figure ABCD ?

A
a translation of 2 units up followed by a reflection across the x - axis
B
a reflection across the y axis followed by a translation of 2 units up
C
a rotation of 90 degrees counterclockwise about the origin followed by a translation of 2 units up
D
a translation of 2 units up followed by a translation of 4 units right
20

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
r sub m circ cap r sub cap c prime comma 90 degrees
D
cap r sub cap c prime comma 90 degrees circ r sub m

Did you find these answers helpful?