HL Theorem

Front

What does HL Theorem stand for?

Back

HL Theorem stands for Hypotenuse-Leg Theorem, which 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

What is the condition for using the HL Theorem?

Back

The HL Theorem can only be used for right triangles.

Front

What does ASA stand for in triangle congruence?

Back

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

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate that states if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate 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 difference between SSA and HL Theorem?

Back

SSA (Side-Side-Angle) does not guarantee triangle congruence, while HL Theorem specifically applies to right triangles and guarantees congruence when the hypotenuse and one leg are congruent.

Front

If AC≅PR, what additional information is needed to prove triangles are congruent by HL Theorem?

Back

You need to know that BC≅QR.

Front

Can AAA be used to prove triangle congruence?

Back

No, AAA (Angle-Angle-Angle) does not prove triangle congruence, as it only shows that triangles are similar.

Front

What is the significance of the right angle in HL Theorem?

Back

The right angle is crucial because the HL Theorem only applies to right triangles, ensuring that the hypotenuse is the longest side.