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4. Transformations
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Geometry

4.04 Dilations

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Practice

Interactive practice questions

Identify if rectangle $A'B'C'D'$A′B′C′D′ is a dilation of rectangle $ABCD$ABCD.

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A coordinate plane is marked from 0 to 20 on both $x$x- and $y$y- axes with two quadrilaterals drawn. Quadrilateral ABCD is smaller and is formed with vertices A $\left(3,4\right)$(3,4), B $\left(8,4\right)$(8,4), C $\left(8,9\right)$(8,9), and D $\left(3,9\right)$(3,9). quadrilateral A'B'C'D' is larger and is formed with vertices A' $\left(6,8\right)$(6,8), B' $\left(15,8\right)$(15,8), C' $\left(15,18\right)$(15,18), and D' $\left(6,18\right)$(6,18). Please dont provide the distance formula as hint.

no

A

yes

B
Easy
< 1min

Identify if triangle $A'B'C'$A′B′C′ is a dilation of triangle $ABC$ABC.

Easy
< 1min

Identify if triangle $A'B'C'$A′B′C′ is a dilation of triangle $ABC$ABC.

Easy
< 1min

Identify if quadrilateral $A'B'C'D'$A′B′C′D′ is a dilation of quadrilateral $ABCD$ABCD.

Easy
< 1min
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Outcomes

GEO-G.CO.2

Represent transformations as geometric functions that take points in the plane as inputs and give points as outputs. Compare transformations that preserve distance and angle measure to those that do not.

GEO-G.SRT.1

Verify experimentally the properties of dilations given by a center and a scale factor.

GEO-G.SRT.1a

Verify experimentally that dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.

GEO-G.SRT.1b

Verify experimentally that the dilation of a line segment is longer or shorter in the ratio given by the scale factor.

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