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 SSS stand for in triangle congruence?

Back

Side-Side-Side; a criterion for triangle congruence stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle; a criterion for triangle congruence stating that 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 AAS stand for in triangle congruence?

Back

Angle-Angle-Side; a criterion for triangle congruence stating 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, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side; a criterion for triangle congruence stating that 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 AAA stand for in triangle congruence?

Back

Angle-Angle-Angle; while triangles with equal angles are similar, this criterion does not prove congruence.

Front

What is the significance of the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

What is the relationship between corresponding parts of congruent triangles?

Back

All corresponding sides and angles of congruent triangles are equal.

Front

What is the SSA condition in triangle congruence?

Back

Side-Side-Angle; this condition does not guarantee triangle congruence and is often referred to as the 'Ambiguous Case'.

Front

How can you prove triangles are congruent using the SAS criterion?

Back

You need to show that two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.