Question

quadrilateral opqr is dilated by a scale factor of $\frac{3}{4}$ to form quadrilateral opqr. what is the measure of side qr? r 8 q 11.3 11.3 o 8 p

Explanation:

Step1: Recall dilation formula

When a figure is dilated by a scale - factor $k$, the length of a side of the dilated figure $s'$ is given by $s'=k\times s$, where $s$ is the length of the corresponding side of the original figure.

Step2: Identify values

The scale factor $k = \frac{3}{4}$, and the length of side $QR$ (the corresponding side to $Q'R'$) in the original quadrilateral $s=8$.

Step3: Calculate length of $Q'R'$

$s'=\frac{3}{4}\times8$.
We know that $\frac{3}{4}\times8=\frac{3\times8}{4}=6$.

Answer:

6