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3.08 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

8.10.A

Generalize the properties of orientation and congruence of rotations, reflections, translations, and dilations of two-dimensional shapes on a coordinate plane

8.10.C

Explain the effect of translations, reflections over the x- or y-axis, and rotations limited to 90°, 180°, 270°, and 360° as applied to two-dimensional shapes on a coordinate plane using an algebraic representation

8.3.A

Generalize that the ratio of corresponding sides of similar shapes are proportional, including a shape and its dilation

8.3.B

Compare and contrast the attributes of a shape and its dilation(s) on a coordinate plane

8.3.C

Use an algebraic representation to explain the effect of a given positive rational scale factor applied to two-dimensional figures on a coordinate plane with the origin as the center of dilation

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