Similar polygons are polygons that have the same shape but may have different sizes. This means that their corresponding angles are congruent and their corresponding sides are proportional. To determine if two polygons are similar, we can use the similarity theorem, which states that if two pairs of corresponding angles in two triangles are congruent, then the triangles are similar.
For example, consider two triangles ABC and DEF, where angle A is congruent to angle D, angle B is congruent to angle E, and angle C is congruent to angle F. If the ratios of their side lengths are also equivalent, such as AB/DE = BC/EF = AC/DF, then we can conclude that these two triangles are similar. This means that these triangles have the same shape but may have different sizes.
Similar Polygons
Definition and Example
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