Question

are these shapes similar? yes no

Explanation:

Step1: Check angle - equality

All angles in both shapes are right - angles (90°), so corresponding angles are equal.

Step2: Check side - ratio

The ratio of corresponding sides: $\frac{19}{38}=\frac{1}{2}$. Since all sides of a rectangle are in proportion (for rectangles, opposite sides are equal and the ratio of corresponding sides is the same for all pairs), the side - lengths are in proportion.

Answer:

yes