Question

are these shapes similar? yes no

Explanation:

Step1: Check ratio of corresponding sides

For the first - shape with side - lengths 28 yd and 40 yd, and the second - shape with side - lengths 35 yd and 50 yd. Calculate the ratios of corresponding sides. The ratio of the shorter sides is $\frac{28}{35}=\frac{4}{5}$, and the ratio of the longer sides is $\frac{40}{50}=\frac{4}{5}$.

Step2: Check angle - congruence

Since the shapes are parallelograms, opposite angles are congruent in each parallelogram. And corresponding angles of two parallelograms are congruent (because the shapes have the same general shape and orientation).

Answer:

yes