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7.01 Dilations

Adaptive
Worksheet

Interactive practice questions

Consider the figures shown.

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A two rectangles on a Coordinate Plane. The larger rectangle has vertices labeled A', B', C', and D', while the smaller rectangle inside has vertices labeled A, B, C, and D. The larger rectangle A'B'C'D' appears to be a scaled-up version of the smaller one what is located within it. Both rectangles are aligned with the axes, indicating that their sides are parallel to the x and y axes. 
a

What is the transformation from rectangle $ABCD$ABCD to rectangle $A'B'C'D'$ABCD?

Translation

A

Reflection

B

Rotation

C

Dilation

D
b

What is the scale factor of the dilation from rectangle $ABCD$ABCD to rectangle $A'B'C'D'$ABCD?

Medium
1min

Consider the figures shown.

Medium
1min

Using triangle $A'B'C'$ABC as a guide, determine the correct sequence of transformations that maps triangle $ABC$ABC to triangle $A''B''C''$ABC.

Medium
< 1min
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Outcomes

G.RLT.3ci

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

G.RLT.3civ

Given an image or preimage, identify the transformation or combination of transformations that has/have occurred. Transformations include: iv) dilations, from a fixed point on a coordinate grid.

G.TR.3

The student will, given information in the form of a figure or statement, prove and justify two triangles are similar using direct and indirect proofs, and solve problems, including those in context, involving measured attributes of similar triangles.

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