Triangle Congruency

Front

What does the HL congruence shortcut stand for in triangle congruency?

Back

HL stands for Hypotenuse-Leg, which is a method used to prove the congruence of right triangles.

Front

What is the SAS congruence criterion?

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, then the triangles are congruent.

Front

What does AAS stand for in triangle congruency?

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, then the triangles are congruent.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

Can two triangles be congruent if only one side is known to be equal?

Back

No, knowing only one side is not sufficient to prove congruence; additional information about angles or other sides is needed.

Front

What is the definition of the SSS congruence criterion?

Back

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

Front

What is the importance of the included angle in the SAS criterion?

Back

The included angle is crucial in the SAS criterion because it must be between the two sides being compared to establish congruence.

Front

What does it mean if two triangles are 'not necessarily congruent'?

Back

It means that there is not enough information to conclude that the triangles are congruent; they may or may not be.

Front

What is the difference between AAS and ASA in triangle congruency?

Back

AAS (Angle-Angle-Side) involves two angles and a non-included side, while ASA (Angle-Side-Angle) involves two angles and the included side.

Front

What is the definition of the ASA congruence criterion?

Back

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