Similar polygons have the same shape but different sizes, therefore:
1. they have corresponding angles that must be: c. congruent.
2. they have corresponding sides that must be: a. proportional.
1. Recall the following facts about the angles of similar polygons:
- Similar polygons have pairs of corresponding angles that are congruent to each other. That is, they have the same angle measures.
- Similar polygons will therefore have the same shape but different sizes.
An example are the similar triangles shown in figure attached below.
Therefore, similar polygons will have corresponding angles that are: c. congruent.
2. Recall the following facts about the sides of similar polygons:
- Similar polygons have pairs of corresponding sides that are proportional to each other. That is, they have the same angle measures with the ratio of their corresponding side lengths equal.
An example are the similar triangles shown in figure 1, that have different sizes but the same shape because of the corresponding side lengths that are proportional .
Therefore, similar polygons will have corresponding sides that are: a. proportional.
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