Question

quadrilateral ghij is dilated by a scale factor of $\frac{3}{4}$ to form quadrilateral ghij. what is the measure of side jg? answer attempt 1 out of 2 submit answer

Explanation:

Step1: Recall dilation formula

When a figure is dilated, the length of a side of the new - figure is the product of the scale factor and the length of the corresponding side of the original figure. Let the length of side $JG$ in the original quadrilateral be $l = 24$, and the scale factor be $k=\frac{3}{4}$.

Step2: Calculate the length of $J'G'$

The length of $J'G'$ is given by $l'=k\times l$. Substitute $k = \frac{3}{4}$ and $l = 24$ into the formula: $l'=\frac{3}{4}\times24$.
$l' = 18$.

Answer:

18