Triangle Congruence

Front

What is Triangle Congruence?

Back

Triangle congruence refers to the condition where two triangles are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

What are the criteria for triangle congruence?

Back

The main criteria for triangle congruence are: SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and HL (Hypotenuse-Leg for right triangles).

Front

Define SSS Congruence Criterion.

Back

SSS (Side-Side-Side) states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

Define SAS Congruence Criterion.

Back

SAS (Side-Angle-Side) 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

Define ASA Congruence Criterion.

Back

ASA (Angle-Side-Angle) 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

Define AAS Congruence Criterion.

Back

AAS (Angle-Angle-Side) 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

Define HL Congruence Criterion.

Back

HL (Hypotenuse-Leg) applies to right triangles and states that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

What does AAA mean in triangle congruence?

Back

AAA (Angle-Angle-Angle) indicates that if three angles of one triangle are equal to three angles of another triangle, the triangles are similar but not necessarily congruent.

Front

What is the significance of congruence statements?

Back

Front

How can you determine if two triangles are congruent using a diagram?

Back

To determine if two triangles are congruent using a diagram, compare their corresponding sides and angles visually or by measurement.