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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
G^(')H^(') ?
Answer:

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 $\mathrm{G}^{\prime} \mathrm{H}^{\prime}$ ? $\newline$ Answer:

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Dilations and parallel lines

Full solution

Q. 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

Answer:

Identify Side GH: Identify the original length of side GH and the scale factor for the dilation. $\newline$ Original length of side GH = $14$ units $\newline$ Scale factor for dilation = $6$
Calculate Length G'H': Calculate the length of side G'H' after the dilation. $\newline$ To find the length of side G'H', multiply the original length of side GH by the scale factor. $\newline$ Length of G'H' = Original length of GH $\times$ Scale factor $\newline$ Length of G'H' = $14 \times 6$
Perform Multiplication: Perform the multiplication to find the length of side $G'H'$ . $\newline$ Length of $G'H' = 14 \times 6 = 84$

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