OpenStudy (anonymous):
If two similar polygons have a scale factor of 1, what can you conclude? A. They are sometimes congruent. B. They are always congruent. C. They are never congruent. D. They would only be congruent if they were regular polygons.
Directrix (directrix):
Similar polygons have corresponding angles congruent and corresponding sides in proportion (which generates the scale factor). Congruent polygons have corresponding angles congruent and corresponding sides are also congruent. The ratio of the sides of congruent polygons is 1:1 because the corresponding sides are congruent. So, you could say that those sides are in proportion, namely 1:1.
Directrix (directrix):
Therefore, saying that two similar polygons have a scale factor of 1:1 is the same as saying that those polygons are congruent polygons, *always* congruent polygons. @student1036489
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