# 4.4 – Prove Triangles Congruent by HL

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4.4 – Prove Triangles Congruent by HL
Geometry Ms. Rinaldi

Right Triangles In a right triangle, the sides next to the right angle are called the legs. The side opposite the right angle is called the hypotenuse. hypotenuse leg leg

Hypotenuse-Leg (HL) Congruence Postulate *Only for RIGHT Triangles*
B If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the two triangles are congruent. If it’s a right triangle, Hypotenuse Leg Then C A S T R

Decide whether the congruence statement is true.
EXAMPLE 1 Use HL Decide whether the congruence statement is true. Explain your reasoning. A B D C SOLUTION It’s a right triangle (H) (L) So by HL,

Decide whether the congruence statement is true.
EXAMPLE 2 Use HL Decide whether the congruence statement is true. Explain your reasoning. A C B D SOLUTION It’s a not a right triangle, so HL does not apply. Also, you have an Angle-Side-Side, but ASS is not a congruence postulate, so there is not enough information.

EXAMPLE 3 Use HL Decide whether the congruence statement is true. Explain your reasoning.

Decide whether the congruence statement is true.
EXAMPLE 4 Use HL Decide whether the congruence statement is true. Explain your reasoning. C D F A B E

State the third congruence that must be given to prove that
EXAMPLE 5 Use HL State the third congruence that must be given to prove that using the indicated postulate. B Given: Angle A and D are right angles. Use the HL Congruence Postulate. A C E F D