Question

magee, messiah
ng 8th grade 1st nine - weeks 2/10 common assessment
the two quadrilaterals shown are similar.
based on these quadrilaterals, which ratio must be true?

Explanation:

Step1: Recall property of similar polygons

For similar polygons, the ratios of corresponding - side lengths are equal.
Let's assume that quadrilateral \(MNQP\) is similar to quadrilateral \(STVW\). Then \(\frac{MN}{ST}=\frac{NQ}{TV}=\frac{QP}{VW}=\frac{PM}{WS}\).

Step2: Analyze the given options

We need to find the ratio of corresponding - side lengths. Without seeing the full options clearly, if we assume the correct ratio is based on corresponding sides. For example, if \(MN\) corresponds to \(ST\), \(NQ\) corresponds to \(TV\), etc. The ratio of two corresponding sides of the similar quadrilaterals must be equal.

Answer:

The ratio of corresponding - side lengths of the two similar quadrilaterals (the correct option among the given ones that represents the ratio of corresponding sides)