Question

are these shapes congruent?
yes
no
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Explanation:

Step1: Define congruent shapes

Congruent shapes have identical side lengths and angle measures, and can be transformed (rotated, reflected, translated) to match each other exactly.

Step2: Compare side lengths

First rectangle: sides are $36$ yd and $50$ yd, all angles are $90^\circ$.
Second quadrilateral: sides are $36$ yd and $50$ yd, all angles are $90^\circ$.

Step3: Verify match via transformation

The second shape is a rotated version of the first, with all corresponding sides and angles equal.

Answer:

yes