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HyA and HyL Math PpT.

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HYPOTENUSE ACUTE ANGLE AND LEG

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HyA and HyL Math PpT.

  1. 1. ACTIVITY 8
  2. 2. ( )
  3. 3. The legs are the two shorter sides of a right triangle. The legs of a right triangle are perpendicular to each other.
  4. 4. EXAMPLE
  5. 5. *HY is congruent to LE *HP is congruent to LG *So, ΔHYP ≅ ΔLEG.
  6. 6. GIVEN: PROVE:
  7. 7. PROOF: STATEMENT REASON MT ⊥ AH ? AM≅MH ? ∠MTA and ∠MTH are right angles ? ΔMTA and ΔMTH are right triangles. ? MT ≅ MT ? ΔMAT ≅ ΔMHT ?
  8. 8. GIVEN
  9. 9. HyL Congruence Theorem
  10. 10. * AC ≅ XZ * ∠ 퐶 ≅ ∠ 푍 * So, Δ 퐴퐵퐶 ≅ Δ 푋푌푍
  11. 11. GIVEN: PROVE:
  12. 12. STATEMENTS REASONS ∠ 퐴 ≅ ∠ 퐷 GIVEN AB ≅ 퐷퐸 GIVEN ∠ 퐶 ≅ ∠ 퐹 DEFINITION OF RIGHT ANGLES Δ 퐴퐵퐶 ≅ Δ 퐷퐸퐹 ASA CONGRUENCE Δ 퐴퐵퐶 ≅ Δ 퐷퐸퐹 HyA CONGRUENCE POSTULATE
  13. 13. :SUMMARIZATION:

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