Question

In figura alaturata O este mijlocul sgmentelor [MP] congruent cu [QN] .Demonstrati ca: a) [MQ] congruent [NP] b) ungiul QMP congruent cu ungiul MPN c) [MN] congruent cu [QP] E URGENT DAU COROANA!!!

Answer 1

a)

QO = ON

∡QOM = ∡PON (op.varf)  } => ΔQOM ≡ ΔPON (L.U.L.) => MQ ≡ NP

MO = OP

b)

ΔQOM ≡ ΔPON (L.U.L.) => ∡QMP ≡ ∡MPN

c)

QO = 0N

∡QOP = ∡MON  } => ΔQOP ≡ ΔMON (L.U.L.) => QP ≡ MN

MO = OP