Question

quadrilateral r is a scaled copy of quadrilateral q.
what scale factor takes quadrilateral q to quadrilateral r?

Explanation:

Step1: Identify corresponding sides

We take a pair of corresponding sides from quadrilateral Q and R. Let's take the side of length 9.6 in Q and 7.2 in R (or 10.8 in Q and 8.1 in R).

Step2: Calculate scale factor

The scale factor is the ratio of the length of the side in R to the length in Q. Using the first pair: $\frac{7.2}{9.6}$ or the second pair: $\frac{8.1}{10.8}$. Let's simplify $\frac{7.2}{9.6}$. Divide numerator and denominator by 2.4: $\frac{7.2\div2.4}{9.6\div2.4}=\frac{3}{4} = 0.75$. Checking with the second pair: $\frac{8.1}{10.8}=\frac{81}{108}=\frac{3}{4}=0.75$.

Answer:

0.75 (or $\frac{3}{4}$)