HL Theorem

Front

What does HL stand for in the context of triangle congruence?

Back

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

Front

What is the Hypotenuse-Leg (HL) Congruence Theorem?

Back

The HL Congruence Theorem states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

Front

When can we use the HL Congruence Theorem?

Back

The HL Congruence Theorem can only be used for right triangles.

Front

What is the difference between HL and SAS?

Back

HL is specific to right triangles and requires the hypotenuse and one leg to be congruent, while SAS (Side-Angle-Side) can be used for any triangle where two sides and the included angle are congruent.

Front

What is a congruence statement?

Back

A congruence statement expresses that two geometric figures are congruent, such as △ABC ≅ △DEF.

Front

Can the HL Congruence Theorem be used to prove triangles congruent?

Back

Yes, if the conditions of the theorem are met, the triangles can be proven congruent.

Front

What is the significance of the reflexive property in triangle congruence?

Back

The reflexive property states that a side or angle is congruent to itself, which is often used in proofs involving shared sides or angles.

Front

What does AAS stand for in triangle congruence?

Back

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

Front

What is the role of shared sides in proving triangle congruence?

Back

Shared sides can be used to establish congruency through the reflexive property, as they are congruent to themselves.

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.