To determine the relationship between the corresponding sides of two similar polygons, let's break down what it means for polygons to be similar.
When two polygons are similar:
1. All corresponding angles are equal.
2. The lengths of corresponding sides must be in the same ratio, meaning they are proportional.
Let's examine the provided choices:
- Congruent: This means identical in shape and size, which is not necessarily true for similar polygons, as they can have different sizes.
- Proportional: This means that the ratios of the lengths of their corresponding sides are equal.
- None of the other answers are correct: This would imply that none of the given options correctly describe the relationship, which is not accurate.
- Similar: This term is used to describe polygons where the corresponding angles are equal and the corresponding sides are proportional, but it does not specifically address the side lengths alone.
- Parallel: This means that lines or sides remain the same distance apart and never meet, which does not describe the relationship between corresponding sides in similar polygons.
Since similar polygons have corresponding sides that are in proportion, the correct choice is "proportional."
Therefore, the correct answer is:
- Proportional
