Question

quadrilateral klmn is similar to quadrilateral tuvw. side lengths are given in centimeters. which proportion must be true? a $\frac{y}{15}=\frac{22.5}{28}$ b $\frac{y}{28}=\frac{5}{22.5}$ c $\frac{20}{30}=\frac{5}{x}$ d $\frac{15}{20}=\frac{x}{30}$

Explanation:

Step1: Recall property of similar figures

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

Step2: Match corresponding sides

Side $MN = 20$ cm in $KLMN$ corresponds to side $WV=30$ cm in $TUVW$, and side $ML = 5$ cm in $KLMN$ corresponds to side $VU = x$ cm in $TUVW$. The ratio of corresponding sides should be equal, so $\frac{MN}{WV}=\frac{ML}{VU}$, which is $\frac{20}{30}=\frac{5}{x}$.

Answer:

C. $\frac{20}{30}=\frac{5}{x}$