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ASEMANAREA TRIUNGHIURILOR ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

ASEMANAREA TRIUNGHIURILOR ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~. SCOALA CU CLASELE I-VIII NR.11 ORADEA GEOMETRIE CLASA a VII-a. PROFESOR: ANA SIME any_sime@yahoo.com. ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~. TRIUNGHIURI ASEMENEA. TEOREMA FUNDAMENTALA A ASEMANARII.

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ASEMANAREA TRIUNGHIURILOR ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

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  1. ASEMANAREA TRIUNGHIURILOR~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ SCOALA CU CLASELE I-VIII NR.11 ORADEA GEOMETRIE CLASA a VII-a PROFESOR: ANA SIME any_sime@yahoo.com

  2. ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ TRIUNGHIURI ASEMENEA TEOREMA FUNDAMENTALA A ASEMANARII CRITERII DE ASEMANARE A DOUA TRIUNGHIURI END *RAPORTUL ARIILOR TRIUNGHIURILOR ASEMENEA

  3. TRIUNGHIURI ASEMENEA 1 Definitie. Două triunghiuri se numesc asemenea dacă au laturilerespectiv proporţionale şi unghiurile opuse lorrespectiv congruente. ΔABC~ΔMNP M A N P B C

  4. TEOREMA FUNDAMENTALA A ASEMANARII 2 T. O paraleladusa la una din laturileunuitriunghi, formeaza cu celelaltedoualaturi (sau cu prelungirilelor) un triunghiasemenea cu cel dat. ∆ ABC (MAB, N AC) MN║BC ΔABC~ΔAMN A N M C B (M) (N)

  5. CRITERII DE ASEMANARE A DOUA TRIUNGHIURI 3 A A’ B’ C’ B C • C.1. (U.U.) Doua triunghiuri care au doua perechi de unghiuri corespondente congruente sunt asemenea.

  6. CRITERII DE ASEMANARE A DOUA TRIUNGHIURI 3 A A’ B’ C’ B C • C.2. (L.U.L.) Douatriunghiuri care au douaperechi de laturicorespondenteproportionalesiunghiuriledintreelecongruentesuntasemenea.

  7. CRITERII DE ASEMANARE A DOUA TRIUNGHIURI 3 A A’ B’ C’ B C • C.3. (L.L.L.) Douatriunghiuri care au laturilerespectivproportionalesuntasemenea.

  8. *RAPORTUL ARIILOR TRIUNGHIURILOR ASEMENEA 3 A A’ B’ C’ B C • T. Raportul ariilor a doua triunghiuri asemenea este egal cu patratul raportului de asemanare.

  9. ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ PAGINA 2 SARSIT ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ any_sime@yahoo.com

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