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Hypotenuse Leg (HL)

Hypotenuse Leg (HL). Other Possibilities? SSA. Will this ever Work?. 30 °. Special Case of SSA. Given a right angle, one leg, & the hypotenuse - Does this prove the triangles congruent?. S. A. S. Yes – Remember Pythagorean Theorem. a 2 + b 2 = c 2. c. c’. a. a’. b. b’.

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Hypotenuse Leg (HL)

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  1. Hypotenuse Leg (HL)

  2. Other Possibilities? SSA Will this ever Work? 30°

  3. Special Case of SSA • Given a right angle, one leg, & the hypotenuse - Does this prove the triangles congruent? S A S

  4. Yes – Remember Pythagorean Theorem • a2 + b2 = c2 c c’ a a’ b b’

  5. a2 + b2 = c2 • Because of Pythagorean thm. a must = a’ • This gives SSS @ 5 5 a a’ 3 3

  6. HL @ Theorem • If the hyp & leg of one right /\ are @ to the hyp & leg of another right /\ then the /\ are @.

  7. Given: <A @ <D AF @ DC AC @ DF <BFA @ <ECD Prove: /\ AFB @/\ DCE B C A 2 Exercise 21 1 3 4 F D E

  8. Given: <1 @ <4 AF @ DC <A @ <D Prove: /\ AFB @/\ DCE B C A 2 Exercise 22 1 3 4 F D E

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