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Triangle CDE is dilated by a scale factor of 5 to form triangle C'D'E'. Side EC measures 16 . What is the measure of side
E^(')C^(') ?
Answer:

Triangle CDE is dilated by a scale factor of $5$ to form triangle C'D'E'. Side EC measures $16$ . What is the measure of side $\mathrm{E}^{\prime} \mathrm{C}^{\prime}$ ? $\newline$ Answer:

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Transformations of linear functions

Full solution

Q. Triangle CDE is dilated by a scale factor of

5

to form triangle C'D'E'. Side EC measures

16

. What is the measure of side

\mathrm{E}^{\prime} \mathrm{C}^{\prime}

?

\newline

Answer:

Understand Dilation Effect: Understand the effect of dilation on the sides of a triangle. $\newline$ Dilation by a scale factor means that each side of the triangle will be multiplied by that factor to get the corresponding side in the dilated triangle.
Apply Scale Factor: Apply the scale factor to the given side length. $\newline$ Since the scale factor is $5$ and side $EC$ measures $16$ , we multiply $16$ by $5$ to find the measure of side $E'C'$ . $\newline$ Calculation: $E'C' = EC \times \text{scale factor} = 16 \times 5 = 80$

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