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Congruence in Right Triangles. 4-6. OBJECTIVE. To prove right triangles congruent using the Hypotenuse-Leg Theorem. VOCABULARY. Parts of a Right Triangle:. Hypotenuse. Leg. Leg. The right angle always point to the hypotenuse. KEY CONCEPT. Hypotenuse-Leg Theorem (HL). A. D. E. F. B.

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4-6

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  1. Congruence in Right Triangles 4-6

  2. OBJECTIVE To prove right triangles congruent using the Hypotenuse-Leg Theorem

  3. VOCABULARY Parts of a Right Triangle: Hypotenuse Leg Leg The right angle always point to the hypotenuse.

  4. KEY CONCEPT Hypotenuse-Leg Theorem (HL) A D E F B C ~ ~ ~

  5. CLASS WORK Complete the proof. Given: V and W are right angles and Prove: WVZ VWX

  6. CLASS WORK WVZ VWX 1. If mX = 54, what is mZ? 2. If mX = 54, what is mVWZ?

  7. CLASS WORK For what values of x and y are the triangles congruent by HL? 3.

  8. CLASS WORK What additional information would prove each pair of triangles congruent by the Hypotenuse-Leg Theorem? 4.

  9. EXIT PROBLEMS For what values of x and y are the triangles congruent by HL? What additional information would prove each pair of triangles congruent by the Hypotenuse-Leg Theorem? 5. 6. 7.

  10. SUMMARY The Hypotenuse-Leg Theorem allows us to prove two triangles congruent if we can mark a pair of right angles, one set of legs congruent, and both hypotenuses congruent.

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