Triangle Congruency Shortcuts

Front

What does ASA stand for in triangle congruency?

Back

ASA stands for Angle-Side-Angle, a method to prove triangle congruency by showing that two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What does SAS stand for in triangle congruency?

Back

SAS stands for Side-Angle-Side, a method to prove triangle congruency by showing that two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What does SAA stand for in triangle congruency?

Back

SAA stands for Side-Angle-Angle, a method to prove triangle congruency by showing that two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle.

Front

What does SSS stand for in triangle congruency?

Back

SSS stands for Side-Side-Side, a method to prove triangle congruency by showing that all three sides of one triangle are equal to all three sides of another triangle.

Front

What is the NEI criterion in triangle congruency?

Back

NEI stands for No Evidence of Inclusion, which is not a valid method for proving triangle congruency.

Front

If two triangles have two angles equal, what can be concluded?

Back

The triangles are congruent by the SAA criterion.

Front

If two triangles have two sides and the included angle equal, what can be concluded?

Back

The triangles are congruent by the SAS criterion.

Front

If two triangles have all three sides equal, what can be concluded?

Back

The triangles are congruent by the SSS criterion.

Front

If two triangles have two angles and a non-included side equal, what can be concluded?

Back

The triangles are congruent by the SAA criterion.

Front

What is the relationship between congruent triangles?

Back

Congruent triangles have the same size and shape, meaning all corresponding sides and angles are equal.