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are these shapes similar? 30 time elapsed 00 04 smartscore out of 100 65

Question

are these shapes similar? 30 time elapsed 00 04 smartscore out of 100 65

Explanation:

Step1: Check ratio of corresponding sides

For the longer - side ratio: $\frac{36}{27}=\frac{4}{3}$.
For the shorter - side ratio: $\frac{28}{21}=\frac{4}{3}$.

Step2: Check angle - congruence

The marked angles in both shapes are right - angles, and since they are quadrilaterals, the other non - marked angles are also congruent (as the sum of interior angles of a quadrilateral is $360^{\circ}$ and the angle relationships are the same for both shapes).

Answer:

yes