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8.01 Dilations

Interactive practice questions

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

Easy
< 1min

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

Easy
< 1min

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

Easy
< 1min
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Outcomes

II.G.SRT.1

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

II.G.SRT.1.a

A 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.

II.G.SRT.1.b

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

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