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.

$no$

$yes$

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

Outcomes

G.CO.A.2

Represent transformations in the plane using, e.g. Transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g. Translation versus horizontal stretch).

G.SRT.A.1

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

G.SRT.A.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.

G.SRT.A.1.B

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

1.18 Dilations

Interactive practice questions

Outcomes

G.CO.A.2

G.SRT.A.1

G.SRT.A.1.A

G.SRT.A.1.B

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