Question

are these shapes similar?
work it out
not feeling ready yet? these can help:
name, measure, and classify angles
lines, line segments, and rays

Explanation:

Step1: Check ratio of corresponding sides

For the first - shape with sides 25 mm and 35 mm, and the second - shape with sides 30 mm and 42 mm. Calculate the ratios of corresponding sides.
The ratio of the first pair of corresponding sides: $\frac{25}{30}=\frac{5}{6}$.
The ratio of the second pair of corresponding sides: $\frac{35}{42}=\frac{5}{6}$.

Step2: Check angle - measures

Both shapes are rectangles, so all angles are right - angles (90°). Corresponding angles are equal.
Since the ratios of corresponding sides are equal and corresponding angles are equal, the shapes are similar.

Answer:

yes