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Polygons must have which of the following characteristics to be considered similar?

A 2:1 correspondence in vertices.

Corresponding sides are equal.

Both polygons are the same shape.

Both polygons are the same size.

Corresponding sides are proportional.

The correct answers are:

Both polygons are the same shape; and

Corresponding sides are proportional.

Explanation:

When defining polygon similarity, we say that:

"Two polygons are similar if their corresponding angles are congruent and the measures of their corresponding sides are proportional."

If two polygons have corresponding angles that are congruent, the polygons are the same shape.

We are told in defining similarity that the corresponding sides must be proportional.

Polygons must have the following characteristics to be considered similar:

1. Corresponding sides are equal.

2. Both polygons are the same shape

3. Both polygons are the same size

4. Corresponding sides are proportional.

The similarity of a polygon does not necessarily of the same size for as long as the proportionality of their sides are the same and equal.