Triangle Congruence

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence.

Front

What is the definition of congruent triangles?

Back

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

Front

What is the SSS criterion for triangle congruence?

Back

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

Front

What is the SAS criterion for triangle congruence?

Back

SAS stands for Side-Angle-Side, which states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What is the AAS criterion for triangle congruence?

Back

AAS stands for Angle-Angle-Side, which states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, the triangles are congruent.

Front

What is the HL criterion for triangle congruence?

Back

HL stands for Hypotenuse-Leg, which applies to right triangles and states that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.

Front

How can you determine if two triangles are congruent using the properties of angles?

Back

You can use the congruence criteria such as ASA, AAS, or SAS to determine if two triangles are congruent based on their angles and sides.

Front

What is the importance of triangle congruence in geometry?

Back

Triangle congruence is important because it allows us to prove that two triangles are identical in shape and size, which is fundamental in solving many geometric problems.

Front

What is the relationship between corresponding parts of congruent triangles?

Back

The corresponding parts of congruent triangles are equal, meaning their corresponding sides and angles are congruent.

Front

What does the term 'included angle' refer to in triangle congruence?

Back

The included angle is the angle formed between two sides of a triangle.