Question

i \can\ similarity
if the corresponding angles of two polygons are congruent and the corresponding side lengths are proportional, then the two polygons are ______.
a regular c similar
b congruent d equilateral
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Explanation:

• Regular polygons: Have all sides and angles equal. The question doesn't mention all sides and angles of the polygons themselves being equal, just the correspondence between two polygons.
• Congruent polygons: Have equal - length corresponding sides and congruent corresponding angles. But the question only says sides are proportional (not necessarily equal).
• Similar polygons: By definition, if two polygons have congruent corresponding angles and proportional corresponding side lengths, they are similar.
• Equilateral polygons: Have all sides equal. This doesn't address the angle - side relationship between two polygons.

Answer:

C. Similar