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7.01 Dilations

Adaptive
Worksheet

Interactive practice questions

$\triangle KLM$KLM has vertices $K\left(-10,-5\right)$K(10,5), $L\left(9,6\right)$L(9,6), and $M\left(8,-8\right)$M(8,8) is dilated by a factor of $0.4$0.4 using the origin as the center of dilation.

Identify the following coordinates after the dilation.

  • $K'$K$=$=$\left(\editable{},\editable{}\right)$(,)

  • $L'$L$=$=$\left(\editable{},\editable{}\right)$(,)

  • $M'$M$=$=$\left(\editable{},\editable{}\right)$(,)

Easy
< 1min

$L'M'N'O$LMNO is the dilation of $LMNO$LMNO. Determine the scale factor.

Easy
1min

Dilate the figure using the transformation $\left(x,y\right)$(x,y)$\to$$\left(\frac{1}{5}x,\frac{1}{5}y\right)$(15x,15y) with the origin as the center of dilation.

Easy
< 1min

Dilate the figure using the transformation $\left(x,y\right)$(x,y)$\to$$\left(3x,3y\right)$(3x,3y) with the origin as the center of dilation.

Easy
< 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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