Triangle Congruence: HL

Front

What are the five ways to prove triangles congruent?

Back

SSS, ASA, AAS, SAS, HL

Front

What does the HL congruence criterion stand for?

Back

Hypotenuse-Leg; it states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

What is the SSS congruence criterion?

Back

Side-Side-Side; it states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What is the SAS congruence criterion?

Back

Side-Angle-Side; it 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 criterion?

Back

Angle-Side-Angle; it 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 criterion?

Back

Angle-Angle-Side; it 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

Can SSA be used to prove triangle congruence?

Back

No, SSA does not guarantee triangle congruence; it can lead to ambiguous cases.

Front

What is the AAA criterion?

Back

Angle-Angle-Angle; it does not prove congruence, as it only shows that triangles are similar, not necessarily congruent.

Front

If two triangles have two equal angles, what can be said about their sides?

Back

The sides opposite those angles are proportional, but the triangles are not necessarily congruent.

Front

What is the significance of the hypotenuse in the HL criterion?

Back

The hypotenuse is the longest side of a right triangle, and its equality is crucial for establishing congruence.