Topics
5. Rigid Transformations
topic badge
United States of AmericaVirginia
Geometry

5.01 Translations

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Consider the figures shown.

Loading Graph...
Two $quadrilateral$quadrilateral are placed on a Coordinate Plane, where the x- and y- axes are labeled and range from -10 to 10. These $quadrilateral$quadrilateral, $ABCD$ABCD and $A'B'C'D'$A′B′C′D′, have the same shape and size but are situated differently. The coordinates of the vertices are not explicitly given. The vertices of $quadrilateral$quadrilateral $ABCD$ABCD are located at A $\left(3,1\right)$(3,1), B $\left(3,8\right)$(3,8), C $\left(8,8\right)$(8,8), and D $\left(8,1\right)$(8,1). Similarly, the vertices of $quadrilateral$quadrilateral $A'B'C'D'$A′B′C′D′ are positioned at A' $\left(-2,3\right)$(−2,3), B' $\left(-2,10\right)$(−2,10), C' $\left(3,10\right)$(3,10), and D' $\left(3,3\right)$(3,3).
a

What single transformation can take quadrilateral $ABCD$ABCD to quadrilateral $A'B'C'D'$A′B′C′D′?

Reflection

A

Rotation

B

Translation

C

Dilation

D
b

Identify the transformation from quadrilateral $ABCD$ABCD to quadrilateral $A'B'C'D'$A′B′C′D′.

A translation $5$5 units left and $2$2 units up.

A

A translation $2$2 units left and $5$5 units up.

B

A translation $5$5 units right and $2$2 units down.

C

A translation $2$2 units right and $5$5 units down.

D
Easy
1min

What is the effect of the transformation below on a figure?

$\left(x,y\right)$(x,y)$\to$→$\left(x+8,y+5\right)$(x+8,y+5)

Easy
< 1min

Consider the following diagram:

Easy
< 1min

Select the correct representation of $\triangle A'B'C'$△A′B′C′, the result of transforming $\triangle ABC$△ABC using the mapping $\left(x,y\right)$(x,y)$\to$→$\left(x-4,y+3\right)$(x−4,y+3).

Easy
< 1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account
Book a Demo
Sign up for free

Outcomes

G.RLT.3

The student will solve problems, including contextual problems, involving symmetry and transformation.

G.RLT.3ci

Given an image or preimage, identify the transformation or combination of transformations that has/have occurred. Transformations include: i) translations;

What is Mathspace

About Mathspace