1 Answer

Jente Rosseel · Answer 1 · 2022-01-13T15:26:58+0000

Answer:

The polygons are similar.

Explanation:

By definition, the corresponding sides and angles of similar polygons must be in some constant proportion.

Therefore, we can find the ratio between corresponding sides to see if that ratio is maintained.

The side marked 3 cm in the smaller figure corresponds with the side marked 3.75 cm in the larger figure. This proportion is
(3)/(3.75) .

The side marked 5 in the smaller figure corresponds with the side marked 6.25 cm in the larger figure. This proportion is
(5)/(6.25) .

If these polygons are similar, these proportions must be equal.

$(3)/(3.75)=(5)/(6.25),\\0.8=0.8\:\checkmark$

Checking, we see that these proportions are equal, and therefore the polygons are similar.

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