Question

quadrilateral pqrt and quadrilateral klmn are similar. which proportion is true? a $\frac{x}{9}=\frac{4.28}{8.91}$ b $\frac{x}{8.91}=\frac{4.12}{9}$ c $\frac{y}{4.28}=\frac{9}{3}$ d $\frac{y}{4.12}=\frac{9}{3}$

Explanation:

Step1: Recall property of similar polygons

For similar polygons, the ratios of corresponding sides are equal.

Step2: Identify corresponding sides

Side $PQ = x$ in quadrilateral $PQRT$ corresponds to side $KL = 9$ in quadrilateral $KLMN$, and side $QR=4.28$ in quadrilateral $PQRT$ corresponds to side $KL = 8.91$ in quadrilateral $KLMN$.

Step3: Write the proportion

The proportion of corresponding - sides is $\frac{x}{9}=\frac{4.28}{8.91}$.

Answer:

A. $\frac{x}{9}=\frac{4.28}{8.91}$