Question

Determine whether the two polygrams are similar. If so write the similarities ratio in the similarity statement for questions 1 please

Answer 1

Given rectangles ABCD and WXYZ, you need to determine whether they are similar.

By definition, two figures are similar if the lengths of their corresponding side are in proportion and if the measures of their corresponding angles are equal.

You know that all the interior angles of a rectangle measure 90 degrees. Therefore, you know that the corresponding angles of the given rectangles are congruent.

In order to determine if their corresponding sides are in proportion, you can set up this equation:

$\frac{64}{96}=\frac{30}{50}$

Reducing the fractions, you get:

$\frac{2}{3}=\frac{3}{5}\text{ (False)}$

Therefore, the lengths of the corresponding sides are not in proportion.

Hence, the answer is: The rectangles are not similar.