Resources

Resources

Dilations and parallel lines

TUV

is dilated by a scale factor of

\frac{2}{3}

to form triangle

T'U'V'

. What is the measure of side

UV

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?

\newline

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}

\newline

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.

\newline

^{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.

\newline

^{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.

\newline

^{2}