Triangle Postulates

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate used to prove that two triangles are congruent if two angles and the included side are equal.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate used to prove that two triangles are congruent if two angles and a non-included side are equal.

Front

What is the included side in a triangle?

Back

The included side is the side that lies between two angles in a triangle.

Front

What is the sum of the interior angles in a triangle?

Back

The sum of the interior angles in a triangle is always 180 degrees.

Front

What does CPCTC stand for?

Back

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent.

Front

What is the SAS postulate?

Back

SAS stands for Side-Angle-Side, a postulate used to prove that two triangles are congruent if two sides and the included angle are equal.

Front

Can triangles with the same angles be congruent?

Back

Yes, triangles with the same angles are similar, but they are only congruent if their corresponding sides are also equal.

Front

What is the AAA criterion?

Back

AAA stands for Angle-Angle-Angle, which indicates that if two triangles have equal corresponding angles, they are similar but not necessarily congruent.

Front

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

Back

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

Front

What is the definition of congruence in geometry?

Back

Congruence in geometry means that two figures have the same shape and size.