Question

quadrilateral abcd is similar to quadrilateral zwxy. which proportion must be true? choose 1 answer: (a) $\frac{n}{87.6}=\frac{45}{72}$ (b) $\frac{n}{45}=\frac{87.6}{72}$ (c) $\frac{71}{m}=\frac{45}{54}$ (d) $\frac{45}{71}=\frac{72}{m}$

Explanation:

Step1: Recall similarity property

For similar polygons, the ratios of corresponding - side lengths are equal.

Step2: Identify corresponding sides

Side \(n\) in quadrilateral \(ABCD\) corresponds to side \(87.6\) in quadrilateral \(ZWXY\), and side \(45\) in quadrilateral \(ABCD\) corresponds to side \(72\) in quadrilateral \(ZWXY\).

Step3: Write the proportion

The proportion of corresponding - side lengths is \(\frac{n}{87.6}=\frac{45}{72}\).

Answer:

A. \(\frac{n}{87.6}=\frac{45}{72}\)