HL Theorem

Front

What does the HL Congruence Theorem state?

Back

The HL Congruence Theorem states that if two right triangles have a congruent hypotenuse and one pair of congruent legs, then the triangles are congruent.

Front

What is the SSS Congruence Postulate?

Back

The SSS (Side-Side-Side) Congruence Postulate states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

What is the SAS Congruence Postulate?

Back

The SAS (Side-Angle-Side) Congruence Postulate 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 is the ASA Congruence Postulate?

Back

The ASA (Angle-Side-Angle) Congruence Postulate 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.

Front

What is the AAS Congruence Theorem?

Back

The AAS (Angle-Angle-Side) Congruence Theorem 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

When can the HL Congruence Theorem be applied?

Back

The HL Congruence Theorem can be applied only to right triangles.

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

What is the reflexive property in geometry?

Back

The reflexive property states that any geometric figure is congruent to itself.

Front

Can the SSA condition be used to prove triangle congruence?

Back

No, SSA (Side-Side-Angle) does not guarantee triangle congruence.

Front

What is the significance of the hypotenuse in right triangles?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle, and is crucial for applying the HL Congruence Theorem.