4.6 Congruence in Right Triangles To Prove Triangles Congruent using the Hypotenuse Leg Theorem.

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Presentation transcript:

4.6 Congruence in Right Triangles To Prove Triangles Congruent using the Hypotenuse Leg Theorem

Right Triangles… The Hypotenuse is always the largest side of the Right Triangle The other two sides are called the Legs. The Legs will always include the Right Angle.

Side Side Angle? Remember SSA is not a Congruence Rule in All Triangles. It does work however in a special case, Right Triangles. It occurs when hypotenuses and one pair of legs are congruent.

The HL Theorem!

So… To Use the HL Theorem, you must show that three conditions are met: 1.There are two right triangles. (Right Angles) 2.The triangles have congruent hypotenuses. 3.There is one pair of congruent legs.

Example 1

Example 2: Using HL Theorem

Example 3: Using HL Theorem

Closure… How are SAS and HL Theorem alike? How are they Different?