#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

If ΔABC ≅ ΔXYZ, what can we conclude about their corresponding angles?

Back

The corresponding angles of congruent triangles are equal, so ∠A ≅ ∠X, ∠B ≅ ∠Y, and ∠C ≅ ∠Z.

Front

What is the importance of the order of vertices in congruence statements?

Back

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

Front

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

Back

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

Front

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

Back

The SSS Congruence Postulate states that if all three sides of one triangle are congruent to all three sides of another triangle, then the two 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 postulates or theorems.

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.

Front

What is the relationship between corresponding sides of congruent triangles?

Back

The corresponding sides of congruent triangles are equal in length.