Question

are these shapes similar?

Explanation:

Step1: Check angle - equality

All angles in both quadrilaterals are right - angles (marked with square corners), so corresponding angles are equal.

Step2: Check side - ratio

For the first quadrilateral with side lengths 30m each, and the second with side lengths 39m each. Calculate the ratio of corresponding sides. $\frac{39}{30}=\frac{13}{10}$. Since all sides have the same ratio $\frac{13}{10}$, the shapes are similar.

Answer:

Yes