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 Hypotenuse-Leg (HL) theorem?

Back

The HL theorem 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 two triangles are congruent.

Front

Which triangle congruence criteria is NOT valid?

Back

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

Front

What are the valid triangle congruence criteria?

Back

The valid criteria are SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and HL (Hypotenuse-Leg for right triangles).

Front

If two triangles have two sides equal and the included angle equal, what is the congruence criterion?

Back

The congruence criterion is SAS (Side-Angle-Side).

Front

What does SSS stand for in triangle congruence?

Back

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

Front

Can two triangles be congruent if only two sides are equal and the angle opposite one of those sides is not equal?

Back

No, the triangles are not necessarily congruent; this situation is described by the SSA condition.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion that states 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 difference between ASA and AAS?

Back

ASA (Angle-Side-Angle) requires the side to be between the two angles, while AAS (Angle-Angle-Side) does not.

Front

If two triangles have one angle equal and the two sides adjacent to that angle equal, what is the congruence criterion?

Back

The congruence criterion is SAS (Side-Angle-Side).