Triangle Congruence: HL

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a criterion for proving the congruence of right triangles.

Front

What is the SSS congruence criterion?

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 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, the triangles are congruent.

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, the triangles are congruent.

Front

What is the AAS congruence criterion?

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

Which criterion is NOT a valid test for triangle congruence?

Back

SSA (Side-Side-Angle) is not a valid test for triangle congruence.

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

How can you prove two right triangles are congruent using the HL criterion?

Back

To prove two right triangles are congruent using the HL criterion, you need to show that the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of the other triangle.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruence means the triangles are the same size and shape, while similarity means the triangles have the same shape but may differ in size.

Front

What does AAA stand for in triangle congruence?

Back

AAA stands for Angle-Angle-Angle, which indicates that if three angles of one triangle are equal to three angles of another triangle, the triangles are similar, but not necessarily congruent.