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If two polygons are similar, then their corresponding angles are congruent and the lengths of their corresponding sides are proportional.
Yes, see solution.
Polygons that have the same shape are called similar polygons. If two polygons are similar, then their corresponding angles are congruent and the lengths of their corresponding sides are proportional. With this information in mind, let's examine the given figures.
We can see that the opposite angles in both figures have a matching number of arcs. Therefore, all of the corresponding angles are congruent. Let's now check whether corresponding sides are proportional.
| Proportion | Simplify |
|---|---|
| 13.5/18 | 0.75 |
| 7.5/10 | 0.75 |
| 6/8 | 0.75 |
| 6/8 | 0.75 |
Since all of the proportions are the same, all of the corresponding sides are proportional. Therefore, the polygons are similar.