Congruent Triangles

Front

What does AAS stand for in triangle congruence?

Back

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

Front

What is the SAS postulate?

Back

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

Front

What is the ASA postulate?

Back

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

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate used to prove triangles are congruent when all three sides are known.

Front

What is the HL postulate?

Back

HL stands for Hypotenuse-Leg, a postulate used to prove congruence in right triangles when the hypotenuse and one leg are known.

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles have the same size and shape, which means corresponding sides and angles are equal.

Front

How can you prove two triangles are not congruent?

Back

If the corresponding sides or angles do not match according to any of the congruence postulates (AAS, SAS, ASA, SSS, HL), the triangles are not congruent.

Front

What is the definition of congruence in geometry?

Back

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

Front

What information is needed to use the AAS postulate?

Back

To use the AAS postulate, you need two angles and a non-included side of one triangle to be known.

Front

What information is needed to use the SAS postulate?

Back

To use the SAS postulate, you need two sides and the included angle of one triangle to be known.