Comparing and Contrasting Similar and Congruent Figures (Mathematical)

 Comparing and Contrasting Similar and Congruent Figures  In mathematics, polygons are often categorized as either having congruence or similarity. In geometry, both can seem alike in many ways, but are both very much not equivalent.

Polygons categorized as having similarity between one another often have equal shape, ratios of the lengths of their corresponding sides are equal, and side angles, are all equal. But polygons with similarity do not have the same size. Two polygons having same shape and their corresponding angles and sides being equal are considered to have congruence. Polygons with congruence do have the same size. Congruent polygons, no matter what position rotated, still maintain congruence. Two polygons must meet those standards to be categorized as either having similarity or congruence. Congruence and similarity are the same in the sense that both pairs of polygons, congruent and similar, are the same shape despite the size of one or more of said polygons.

In conclusion, polygons of the same shape, length ratios and angle measurements have similarity. Polygons with the same shape, corresponding angles and sides and have the same size have congruence.

- Tronlegacy2000 (talk)