Mastering Congruent Polygons: Sas, Asa, And Sss Congruence Theorems Explained

congruent polygons

two polygons whose corresponding sides and angles are congruent

Congruent polygons are geometric shapes that have the same size and shape. In other words, they are identical in every way, including angles and side lengths.

To show that two polygons are congruent, we can use a few different methods. One common method is to use the side-angle-side (SAS) congruence theorem. This theorem states that if two sides and the included angle of one polygon are congruent to two sides and the included angle of another polygon, then the two polygons are congruent.

Another method to show that two polygons are congruent is by using the angle-side-angle (ASA) congruence theorem. This theorem states that if two angles and the included side of one polygon are congruent to two angles and the included side of another polygon, then the two polygons are congruent.

Lastly, the side-side-side (SSS) congruence theorem states that if all three sides of one polygon are congruent to all three sides of another polygon, then the two polygons are congruent.

Overall, it is important to remember that when two polygons are congruent, they have the same size and shape, and their corresponding angles and side lengths are equal.

More Answers:
Mastering The Angle-Angle-Side (Aas) Theorem For Triangle Congruence And Problem-Solving In Geometry
Master The Asa Postulate: A Guide To Proving Congruent Triangles In Geometry
Discover How To Prove Congruence Of Quadrilaterals With Asa, Sss, And Sas Theorems

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