HL Theorem

Front

What does the HL Congruence Theorem state?

Back

The HL Congruence 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

What is the longest side of a right triangle called?

Back

Hypotenuse

Front

When can we use the HL Congruence Theorem?

Back

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

Front

What is the congruence statement for triangles △ABC and △YXW if they are congruent by HL?

Back

△BCA≅△XYW

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a method to prove triangle congruence.

Front

What is the difference between SAS and SSS in triangle congruence?

Back

SAS (Side-Angle-Side) requires two sides and the included angle to be equal, while SSS (Side-Side-Side) requires all three sides to be equal.

Front

Can the HL Congruence Theorem be applied to isosceles triangles?

Back

No, the HL Congruence Theorem is specifically for right triangles.

Front

What is the significance of the reflexive property in triangle congruence?

Back

The reflexive property states that a side or angle is congruent to itself, which can help in proving triangles congruent.

Front

What is the relationship between the angles in a right triangle?

Back

In a right triangle, one angle is 90 degrees, and the sum of the other two angles is 90 degrees.

Front

If two triangles have one equal angle and the sides adjacent to that angle are equal, what can be concluded?

Back

The triangles are congruent by the SAS (Side-Angle-Side) theorem.