Question

1. the following two figures are similar. write the similarity statement. justify your answer.

Explanation:

Step1: Find the ratio of corresponding sides

Calculate the ratios of the sides: $\frac{30}{40}=\frac{3}{4}$, $\frac{37.5}{50}=\frac{3}{4}$, $\frac{45}{60}=\frac{3}{4}$.

Step2: Write the similarity statement

Since the ratios of corresponding sides are equal, the similarity statement is $\triangle ABC\sim\triangle ZYX$.

Answer:

$\triangle ABC\sim\triangle ZYX$