Resources

Resources

Dilations and parallel lines

10

04

3

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CHARLOTTE HIGGINS's practice

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2

Dilations: graph the image

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Graph the image of square KLMN after a dilation with a scale factor of

2

, centered at the origin.

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1

. The figure below, not drawn to scale, is made up of a square MNOP and a rectangle PQRS. The length of the square is

6 \mathrm{~cm}

. Find the area of the rectangle PQRS.

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D

with a radius of

4

units is shown on a coordinate grid. Circle

D

is dilated using a scale factor of

\frac{3}{4}

, centered at the origin, to map to Circle

M

Graph the image of

\triangle T U V

after a dilation with a scale factor of

5

, centered at the origin.

Trapezoid KLMN is dilated by a scale factor of

\frac{1}{4}

to form trapezoid K'L'M'N'. Side L'M' measures

8

. What is the measure of side LM?

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Trapezoid GHIJ is dilated by a scale factor of

6

to form trapezoid G'H'I'J'. Side GH measures

14

. What is the measure of side

\mathrm{G}^{\prime} \mathrm{H}^{\prime}

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A square with an area of

21

^{2}

is dilated by a scale factor of

\frac{4}{3}

. Find the area of the square after dilation. Round your answer to the nearest tenth, if necessary.

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^{2}

A triangle with an area of

133

^{2}

is the image of a triangle that was dilated by a scale factor of

\frac{3}{4}

. Find the area of the preimage, the original triangle, before its dilation. Round your answer to the nearest tenth, if necessary.

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^{2}

A rectangle with an area of

144

^{2}

is the image of a rectangle that was dilated by a scale factor of

\frac{1}{3}

. Find the area of the preimage, the original rectangle, before its dilation. Round your answer to the nearest tenth, if necessary.

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^{2}