Condition For Similarity

Geometry Level 4

Statement: Polygons $$A_1 A_2 A_3 \ldots A_n$$ and $$B_1 B_2 B_3 \ldots B_n$$ are similar polygons.

Condition: The ratio of the corresponding sides of the polygons is constant, i.e.

$\frac{A_1A_2}{B_1B_2} = \frac{A_2A_3}{ B_2B_3} = \cdots = \frac{A_{n-1} A_n}{B_{n-1} B_n} = \frac{A_nA_1}{ B_nB_1}$

For the statement to be true, the given condition is ___________.

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