Concept Check-Triangle Congruence Statements

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, which means their corresponding sides and angles are equal.

Front

What is the symbol used to denote triangle congruence?

Back

The symbol for triangle congruence is '≅'.

Front

If ∆PIG ≅ ∆COW, what can we conclude about the corresponding sides and angles?

Back

If ∆PIG ≅ ∆COW, then the corresponding sides PI = CO, IG = OW, and PG = CW, and the corresponding angles ∠P = ∠C, ∠I = ∠O, ∠G = ∠W.

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 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 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) Theorem for right triangles?

Back

The HL 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 two triangles are congruent.

Front

What does the notation ∆ABC ≅ ∆LMN imply?

Back

The notation ∆ABC ≅ ∆LMN implies that triangle ABC is congruent to triangle LMN, meaning their corresponding sides and angles are equal.

Front

In the context of triangle congruence, what does 'corresponding parts' refer to?

Back

'Corresponding parts' refer to the sides and angles of congruent triangles that match up with each other.

Front

If ∆ABC ≅ ∆LMN, what can we say about the lengths of sides AB and LM?

Back

If ∆ABC ≅ ∆LMN, then AB = LM.