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:
(select)
obtuse
right
acute

Explanation:

Step1: Identify Angle Type

All angles in both shapes are \(90^\circ\), which are right angles. So the first select should be "right".

Step2: Calculate Side Ratio

The side lengths of the first square are 15 ft, and the second are 25 ft. The ratio of corresponding sides is \(\frac{15}{25}=\frac{3}{5}\), so the ratio is \(3:5\).

Step3: Determine Similarity

Since all angles are equal (right angles) and sides are in proportion (\(3:5\)), the shapes are similar.

Answer:

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