Proving Triangles Congruent

Front

What is the SAS (Side-Angle-Side) Congruence Postulate?

Back

If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the ASA (Angle-Side-Angle) Congruence Postulate?

Back

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

Front

What is the AAS (Angle-Angle-Side) Congruence Theorem?

Back

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

Front

What is the definition of congruent triangles?

Back

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

Front

What is the definition of an isosceles triangle?

Back

A triangle with at least two sides of equal length.

Front

What is the definition of a scalene triangle?

Back

A triangle with all sides of different lengths.

Front

What is the definition of an equilateral triangle?

Back

A triangle with all three sides of equal length.

Front

What is the importance of the included angle in triangle congruence?

Back

The included angle is the angle formed between two sides of a triangle, and it is crucial for proving congruence using SAS and ASA.

Front

What information is needed to prove triangles congruent using SAS?

Back

Two sides and the included angle must be known.

Front

What information is needed to prove triangles congruent using ASA?

Back

Two angles and the included side must be known.