Question

are the shapes similar? complete the explanation.
the shapes are similar. all of the angles are (select) angles and the ratio of the corresponding sides is 3:

Explanation:

Step1: Identify Shape Type

Both shapes are rectangles (all angles \(90^\circ\)).

Step2: Check Angle Similarity

All angles are equal (corresponding angles congruent, as \(90^\circ = 90^\circ\)).

Step3: Calculate Side Ratio

First rectangle side: \(15\) ft, second: \(25\) ft. Ratio of sides: \(\frac{15}{25}=\frac{3}{5}\), so ratio \(3:5\).

Step4: Determine Similarity

For rectangles, similar if angles congruent and sides proportional. Angles are congruent, sides have ratio \(3:5\) (proportional). So shapes are similar.

Answer:

The shapes are similar. All of the angles are congruent angles and the ratio of the corresponding sides is \(3:5\).