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Section 4.6 Hypotenuse-Leg
SWBAT: prove right triangles are congruent using the HL Theorem! Quick Review! X Y Z A B C leg leg hypotenuse leg hypotenuse leg
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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
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Are the triangles congruent? If so, write the congruence statement.
X Y Z A B C R S T U No; not rt triangles Yes by HL; ΔRUT ΔSUT P O N M D E F L J Yes by AAS; ΔDEF ΔJLF Yes by HL; ΔPOM ΔMNP
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Using the HL Theorem in PROOFS!
Given: W J Z K Prove: Given ___________ Def of rt triangle ___________ 3. _______________ 3. Reflexive HL ___________
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