Congruent Triangles

Front

What are congruent triangles?

Back

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

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle; a postulate that states if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side; a postulate that states if all three sides of one triangle are equal to all three sides of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side; a postulate that states if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side; a postulate that states if two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, the triangles are congruent.

Front

What is the significance of the included angle in ASA and SAS?

Back

In ASA, the included side is between the two angles. In SAS, the included angle is between the two sides.

Front

Can two triangles be congruent if only one angle is known?

Back

No, at least two angles and the included side (ASA) or two sides and the included angle (SAS) are needed to prove congruence.

Front

What is the relationship between congruent triangles and their corresponding parts?

Back

If two triangles are congruent, then all their corresponding sides and angles are also congruent.

Front

What is the criteria for triangle congruence using SSS?

Back

If the lengths of all three sides of one triangle are equal to the lengths of all three sides of another triangle, then the triangles are congruent.

Front

What is the criteria for triangle congruence using AAS?

Back

If two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.