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5. Rigid Transformations
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Geometry

5.01 Translations

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Consider the figures shown.

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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′?

Rotation

A

Translation

B

Reflection

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
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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;

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