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Probleme Probleme D C 1. A B Ip. ABCD AC∩BD= O M mij. [AB] OM∩CD= C: AM||CN ABCD paralelogram ≡>AB||CD≡>AM||CN ∆AOM U.L.U. ∆CON <AOM≡<CON o.p ≡>∆AOM≡∆CON≡> AM||CN ≡>AMCN paral. AB||CD AM≡CN AC sec. ≡><OAM≡<OCN alt. Int. ≡> AM||CN 16

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Page 1: Probleme

Probleme

Probleme

D C

1.

A B Ip. ABCD AC∩BD= O

M mij. [AB] OM∩CD= C: AM||CN

ABCD paralelogram ≡>AB||CD≡>AM||CN

∆AOM ≡ U.L.U.∆CON <AOM≡<CON o.p ≡>∆AOM≡∆CON≡> AM||CN ≡>AMCN paral. AB||CD AM≡CN AC sec. ≡><OAM≡<OCN alt. Int.

≡> AM||CN

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Page 2: Probleme

Elev MATASĂ Alexandra Ioana, îndrumător Profesor RĂILEANU Dorina. Patrulatere convexe

D M C

2.

A B

Ip: ∆ADM ≡ L.L.L ∆BCM ≡ ≡>∆ADM≡∆BCM ≡ ≡><ADM≡<BCM + =1800 ≡> =900

ABCD paral.

≡>ABCD dreptunghi

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