Triangle Congruence Statements

Front

What is the definition of congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What does the symbol '≅' represent in geometry?

Back

It represents that two figures are congruent.

Front

List the criteria for triangle congruence.

Back

1. Side-Side-Side (SSS) 2. Side-Angle-Side (SAS) 3. Angle-Side-Angle (ASA) 4. Angle-Angle-Side (AAS) 5. Hypotenuse-Leg (HL) for right triangles.

Front

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

Back

AB ≅ LM, BC ≅ MN, AC ≅ LN.

Front

What is the Angle-Angle-Angle (AAA) criterion?

Back

AAA does not prove triangle congruence; it only proves similarity.

Front

How do you denote the congruence of two triangles?

Back

By writing the congruence statement, e.g., ∆ABC ≅ ∆LMN.

Front

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

Back

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) congruence criterion?

Back

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) congruence criterion?

Back

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 criterion?

Back

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.