Triangle Congruence

Front

What is the AAS Theorem in triangle congruence?

Back

The AAS (Angle-Angle-Side) Theorem states that if two angles and the non-included side of one triangle are congruent to two angles and the non-included side of another triangle, then the two triangles are congruent.

Front

What is the SAS Postulate in triangle congruence?

Back

The SAS (Side-Angle-Side) 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 ASA Postulate in triangle congruence?

Back

The ASA (Angle-Side-Angle) 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 SSS Postulate in triangle congruence?

Back

The SSS (Side-Side-Side) 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

What does it mean for triangles to be congruent?

Back

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

Front

What is the HL Theorem in triangle congruence?

Back

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

Front

Back

Front

Back

Front

What is the relationship between the angles in congruent triangles?

Back

In congruent triangles, corresponding angles are equal.

Front

What is the relationship between the sides in congruent triangles?

Back

In congruent triangles, corresponding sides are equal.