Question

5 pls !!!!!!!Va rog repede !!!!!!!!! 50puncte

Answer 1

[AB]≡[MN]
fie AQ⊥b, Q∈b
si MR⊥a,R∈a

[AB]≡[MN] si
∡ABQ≡∡NBx(op la varf)≡∡BNz(alt.int)≡∡MNR(op la varf)
⇒ ΔABQ≡ΔMNR  (caz IpUnghi)
⇒[BQ]≡[RN]  (1)
si AQ≡MR

AQ≡MR si [AC]≡[PM](ipoteza)⇒(caz ip Unghi)⇒ΔAQC≡ΔMRP⇒[QC]≡[PR] (2)

din (1) si (2)⇒⇒ [BC]≡[NP] (cerinta a)



[BC]≡[NP]

b)∡ACB≡∡MPN (pctul a))
[AB]≡[MN] (ipoteza)
[AC]≡[PM](ipoteza)
din celer 3 de mai sus⇒(caz congr LLL)⇒ΔABC≡ΔMNP⇒m∡ACB=m∡MPN (cerinta b)
as complicated as that!