Question

Determine whether the rectangles are similar. If so, write the similarity ratio and a similarity statement.

A. The similarity ratio is 3:2, and rectangle MNOP is similar to rectangle RSTU.
B. Rectangles MNOP and RSTU are not similar.
C. The similarity ratio is 2:3, and rectangle MNOP is similar to rectangle RSTU.
D. The similarity ratio is 5:4, and rectangle MNOP is similar to rectangle RSTU.

Answer 1

The rectangles are similar with a similarity ratio of 2:3.

Step-by-step explanation:

The correct answer is C. The similarity ratio is 2:3, and rectangle MNOP is similar to rectangle RSTU.

1. To determine whether two rectangles are similar, we need to compare their side lengths. If the ratios of corresponding sides are equal, then the rectangles are similar. In this case, the ratio of the sides of MNOP to the sides of RSTU is 2:3, which means that MNOP is similar to RSTU.
2. The similarity statement can be written as: 'Rectangle MNOP is similar to rectangle RSTU'.
3. The similarity ratio is 2:3, meaning that every side length of MNOP is 2/3 of the corresponding side length of RSTU.