[4-6] Congruence in Right Triangle Mr. Joshua Doudt Geometry (H) Pg. 258 - 264.

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Presentation transcript:

[4-6] Congruence in Right Triangle Mr. Joshua Doudt Geometry (H) Pg

Lesson Vocabulary Hypotenuse Legs of a right triangle

Definition In right triangle, the side opposite the right angle is called hypotenuse. It is the longest side in the triangle. The other two sides are called legs.

Key Concept Conditions for Hypotenuse-Leg (HL) Theorem – There are two right triangles – The triangles have congruent hypotenuses. – There is one pair of congruent legs.

Theorem 4-6 Hypotenuse-Leg (HL) Theorem

How to prove? You need to prove that right angle are congruent along with hypotenuse and a leg.

Example of HL Theorem

Joke Time Why was the elephant standing on the marshmallow? He didn’t want to fall in the hot chocolate! What kind of insect is good at math? An account-ant

Homework Pg. 262 #8-13 (for #12-13 Hint: Use Elimination or Substitution method)