Congruent Polygons

Front

What are congruent polygons?

Back

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

Front

What does it mean for two polygons to be congruent?

Back

Two polygons are congruent if they can be made to coincide by rigid transformations such as translation, rotation, or reflection.

Front

What is the significance of corresponding sides in congruent polygons?

Back

In congruent polygons, corresponding sides are always congruent, meaning they have equal lengths.

Front

What is the significance of corresponding angles in congruent polygons?

Back

In congruent polygons, corresponding angles are always congruent, meaning they have equal measures.

Front

If ∆ABC ≅ ∆DEF, what can we conclude about the sides?

Back

We can conclude that AB = DE, BC = EF, and AC = DF.

Front

If two triangles are congruent, what can we say about their areas?

Back

If two triangles are congruent, their areas are equal.

Front

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

Back

The SAS Congruence Postulate states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the ASA (Angle-Side-Angle) 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 AAS (Angle-Angle-Side) 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.