QUESTION IMAGE
Question
are these shapes similar? s 37 mi r 37 mi 37 mi p 37 mi q v 45 mi y 45 mi 45 mi x 45 mi w yes no
Step1: Recall similarity condition
For two polygons to be similar, corresponding angles must be equal and corresponding - side lengths must be in proportion.
Step2: Check angle - equality
Both shapes are squares, so all angles in both squares are 90 degrees. Corresponding angles are equal.
Step3: Check side - length proportion
For the first square with side length \(a = 37\) mi and the second square with side length \(b = 45\) mi. The ratio of corresponding sides is \(\frac{37}{45}
eq1\). Since the ratio of side - lengths is not the same for all corresponding sides (in this case, for any pair of corresponding sides), the shapes are not similar.
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no