Question

are these shapes similar?
35 cm
25 cm
25 cm
35 cm
20 cm
28 cm
28 cm
20 cm
yes
no

Explanation:

Step1: Calculate the ratios of corresponding sides

For the first shape, sides are \(25\) cm and \(35\) cm. For the second shape, sides are \(20\) cm and \(28\) cm.
The ratio of \(25\) to \(20\) is \(\frac{25}{20}=\frac{5}{4}\), and the ratio of \(35\) to \(28\) is \(\frac{35}{28}=\frac{5}{4}\)

Step2: Check angle - equality

Both shapes have four right - angles (as indicated by the right - angle marks).

Since the ratios of corresponding sides are equal (\(\frac{5}{4}\)) and all corresponding angles are equal (all are right - angles), the shapes are similar.

Answer:

yes