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

Define the SSS postulate.

Back

SSS stands for Side-Side-Side, a postulate used to prove triangles are congruent when all three sides of one triangle are equal to the three sides of another triangle.

Front

What is the HL theorem?

Back

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

Front

What does ASA stand for in triangle congruence?

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 is the significance of congruent triangles in geometry?

Back

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

Front

How can you prove triangles are congruent using the AAS postulate?

Back

To prove triangles are congruent using AAS, you need to show that two angles and a non-included side of one triangle are equal to the corresponding parts of another triangle.

Front

What additional information is needed to use the HL theorem?

Back

To use the HL theorem, you need to know that both triangles are right triangles and have the lengths of the hypotenuse and one leg.

Front

What is a congruence statement?

Back

Front

What is the difference between congruence and similarity in triangles?

Back

Congruent triangles are identical in size and shape, while similar triangles have the same shape but may differ in size.