Question

quadrilateral ijkl is dilated by a scale factor of \\(\frac{2}{3}\\) to form quadrilateral ijkl. what is the measure of side kl? \
(image of parallelogram ijkl with kl = 36, ij = 36, li = 40.2, kj = 40.2)

Explanation:

Step1: Identify corresponding side

In dilation, corresponding sides are scaled by the scale factor. Side \( KL \) in quadrilateral \( IJKL \) corresponds to side \( K'L' \) in quadrilateral \( I'J'K'L' \). The length of \( KL \) is 36.

Step2: Apply scale factor

To find the length of \( K'L' \), multiply the length of \( KL \) by the scale factor \( \frac{2}{3} \). So, \( K'L' = 36\times\frac{2}{3} \).

Step3: Calculate the result

\( 36\times\frac{2}{3}=\frac{36\times2}{3}= 24 \).

Answer:

24