4-6 Congruence in Right Triangles

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4.6 Congruence in Right Triangles

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Presentation transcript:

4-6 Congruence in Right Triangles 1 card

Vocabulary Right Triangles

Hypotenuse-Leg Theorem (HL) If the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the triangles are congruent.

Ex 1: Which are congruent by HL?

Ex 1: Which are congruent by HL?

Ex 2: Prove the triangles are congruent

Ex 2: Prove the triangles are congruent Given

Ex 2: Prove the triangles are congruent Given

Ex 2: Prove the triangles are congruent Given All Right angles are congruent

Ex 2: Prove the triangles are congruent Given All Right angles are congruent

Ex 2: Prove the triangles are congruent Given All Right angles are congruent Reflexive

Ex 2: Prove the triangles are congruent Given All Right angles are congruent Reflexive

Ex 2: Prove the triangles are congruent Given All Right angles are congruent Reflexive HL

Ex 3: What else do you need to prove the triangles are congruent?

Ex 3: What else do you need to prove the triangles are congruent?

Ex 4: Prove the two triangles are congruent

Ex 4: Prove the two triangles are congruent Given

Ex 4: Prove the two triangles are congruent Given

Ex 4: Prove the two triangles are congruent Given Definition of a midpoint

Ex 4: Prove the two triangles are congruent Given Definition of a midpoint

Ex 4: Prove the two triangles are congruent Given Definition of a midpoint HL