#5.2 Congruent Polygons

Front

What are congruent polygons?

Back

Congruent polygons are polygons that have the same shape and size. This means that their corresponding sides and angles are equal.

Front

What is the symbol used to denote congruence?

Back

The symbol for congruence is '≅'.

Front

What is the importance of order in congruence statements?

Back

The order of the vertices in congruence statements matters because it indicates which angles and sides correspond to each other.

Front

If ΔABC ≅ ΔXYZ, what can we conclude about the corresponding sides?

Back

If ΔABC ≅ ΔXYZ, then AB = XY, BC = YZ, and AC = XZ.

Front

What does it mean if two angles are congruent?

Back

Two angles are congruent if they have the same measure.

Front

What is the Side-Side-Side (SSS) Congruence Postulate?

Back

The SSS Congruence Postulate states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What is the Angle-Side-Angle (ASA) Congruence Postulate?

Back

The ASA Congruence Postulate states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the Angle-Angle-Side (AAS) Congruence Theorem?

Back

The AAS Congruence Theorem states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the Hypotenuse-Leg (HL) Congruence Theorem?

Back

The HL Congruence Theorem states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

How can you prove that two polygons are congruent using corresponding parts?

Back

To prove that two polygons are congruent, you can show that all corresponding sides and angles are equal.