#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 does the symbol '≅' represent in geometry?

Back

The symbol '≅' indicates that two figures are congruent, meaning they have the same shape and size.

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 is the Angle-Angle (AA) criterion for triangle congruence?

Back

The AA criterion states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar, and if the triangles are similar, they are also congruent.

Front

What is the Side-Side-Side (SSS) criterion for triangle congruence?

Back

The SSS criterion 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 Side-Angle-Side (SAS) criterion for triangle congruence?

Back

The SAS criterion 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 Angle-Side-Angle (ASA) criterion for triangle congruence?

Back

The ASA criterion 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

How can you prove that two polygons are congruent?

Back

To prove that two polygons are congruent, you can show that their corresponding sides and angles are equal using congruence criteria such as SSS, SAS, ASA, or AA.

Front

What does it mean if two angles are congruent?

Back

If two angles are congruent, it means they have the same measure in degrees or radians.