Triangle Congruence

Front

What does it mean for two triangles to be congruent?

Back

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

Front

What is the SSS Postulate?

Back

The SSS (Side-Side-Side) 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 SAS Postulate?

Back

The SAS (Side-Angle-Side) Postulate 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 two triangles are congruent.

Front

What is the ASA Postulate?

Back

The ASA (Angle-Side-Angle) 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 two triangles are congruent.

Front

What is the AAS Theorem?

Back

The AAS (Angle-Angle-Side) 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 two triangles are congruent.

Front

What is the HL Theorem?

Back

The HL (Hypotenuse-Leg) 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

Back

Front

How do you determine if two triangles are congruent using the SSS Postulate?

Back

Measure the lengths of all three sides of both triangles. If all three pairs of corresponding sides are equal, the triangles are congruent by the SSS Postulate.

Front

What is the relationship between angles in congruent triangles?

Back

In congruent triangles, corresponding angles are equal.

Front

Back