Question

are these shapes similar?

Explanation:

Step1: Recall similarity criteria

For two polygons to be similar, their corresponding angles must be equal and corresponding sides must be in proportion.

Step2: Check side - length ratios

For the first shape with side - length 27 mm all around and the second shape with side - lengths 27 mm and 31 mm, the ratio of corresponding sides is not the same for all sides. For example, if we consider the ratio of a 27 - mm side of the first shape to a 27 - mm side of the second shape and a 27 - mm side of the first shape to a 31 - mm side of the second shape, the ratios are 1 and $\frac{27}{31}$ respectively, which are not equal.

Step3: Conclusion

Since the corresponding sides are not in proportion, the shapes are not similar.

Answer:

no