Question

Quadrilateral EFGH is dilated by a scale factor of 1 to form quadrilateral E'F'G'H'.
What is the measure of side HE?
Н
18
18
18

Answer 1

The scale factor in the dilation of a mathematical object represents how much larger or smaller the image will be.

Example

Scale factor 2 for a side A Then, the new dimension will be 2A

Scale factor 1/2 for a side A Then, the new dimension will be 1/2A

If H'E'=18, you can use the equation below to find HE

$\begin{gathered} 18=HE\cdot\frac{3}{4} \\ 3HE=72 \\ HE=\frac{72}{3}=24 \end{gathered}$