HL Theorem

Front

What is the HL Congruence Theorem?

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

When can we use the HL Congruence Theorem?

Back

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

Front

What is required to prove triangles are congruent by the HL Theorem?

Back

To prove triangles are congruent by the HL Theorem, you need the lengths of the hypotenuse and one leg to be congruent.

Front

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

Back

You need BC≅QR.

Front

Can the HL Congruence Theorem be used to prove triangles congruent if only one leg is known?

Back

No, you need both the hypotenuse and one leg to apply the HL Theorem.

Front

What is a congruence statement?

Back

A congruence statement indicates that two triangles are congruent, such as △ABC≅△XYZ.

Front

What does it mean for triangles to be congruent?

Back

Triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

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

Back

The hypotenuse is the longest side of a right triangle and must be congruent for the HL Theorem to apply.

Front

What is the role of legs in the HL Theorem?

Back

One leg of the right triangle must be congruent to the corresponding leg of the other triangle for congruence.

Front

Can the HL Theorem be applied to non-right triangles?

Back

No, the HL Theorem is specifically for right triangles.