Congruent Triangle Proofs

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate that states 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 does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate that states 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 first statement in the reason column of a proof?

Back

The first statement is always 'Given', which refers to the information provided in the problem.

Front

What is a congruence statement?

Back

A congruence statement is a way to express that two triangles are congruent, typically written as ΔABC ≅ ΔDEF.

Front

What is the significance of the order of letters in a congruence statement?

Back

The order of letters in a congruence statement indicates which corresponding parts of the triangles are congruent.

Front

What is needed to prove triangles congruent using SAS?

Back

To prove triangles congruent using SAS, you need two sides and the included angle to be congruent.

Front

What is the missing piece of information needed to prove triangles congruent using SAS if you have two sides?

Back

You need the measure of the included angle between the two sides.

Front

What does it mean for two angles to be congruent?

Back

Two angles are congruent if they have the same measure.

Front

What is the relationship between corresponding parts of congruent triangles?

Back

Corresponding parts of congruent triangles are congruent, meaning they have the same length or measure.