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SWBAT: prove right triangles are congruent using the HL Theorem!

X. A. Y. B. C. Z. Section 4.6 Hypotenuse-Leg. SWBAT: prove right triangles are congruent using the HL Theorem!. Quick Review!. leg. leg. hypotenuse. leg. hypotenuse. leg. Hypotenuse-Leg (HL) Theorem:.

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SWBAT: prove right triangles are congruent using the HL Theorem!

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  1. X A Y B C Z Section 4.6Hypotenuse-Leg SWBAT: prove right triangles are congruent using the HL Theorem! Quick Review! leg leg hypotenuse leg hypotenuse leg

  2. Hypotenuse-Leg (HL) Theorem: If the _______________ and one ______ of one RIGHT triangle are congruent to the hypotenuse and one leg of another ___________ triangle, then the triangles are congruent! hypotenuse leg right • To use the HL Theorem, you must know/show: • There are two right triangles • The triangles have congruent hypotenuses • There is one pair of corresponding congruent legs

  3. B X U L Y A C R F S J D T P Z E N O M Are the triangles congruent? If so, write the congruence statement. No; not rt triangles Yes by HL; ΔRUT ΔSUT Yes by AAS; ΔDEF ΔJLF Yes by HL; ΔPOM ΔMNP

  4. W Z J K 1. 1. ___________ 2. 2. ___________ 4. 4. ___________ Using the HL Theorem in PROOFS! Given: Prove: Given Def of rt triangle 3. _______________ 3. Reflexive HL

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