Question

Va rog macar unul din ele

Answer 1

• 22

BM = MC

MO = MO  } => ΔBMO = ΔCMO => ∡BMO = ∡CMO

BO = 0C

∡AMB = 180 - ∡BMO

∡AMC = 180 - ∡CMO  } => ∡AMB = ∡AMC

∡BMO = ∡CMO

AM = AM

∡AMB = ∡AMC  } => ΔABM = ΔACM => AB = AC => ΔABC isoscel

BM = CM

• 23

PM = MN

RM = PM  } => RM = MQ => ΔRMQ = isoscel

MQ = MN

∡QMP = ∡PMN+∡QMN = 90°+60° = 150° (1)

∡RMN = ∡PMN+∡RMP = 90°+60° = 150° (2)

Din (1) si (2) => ∡QMP = ∡RMN

PM = MN

∡QMP = ∡RMN  } => ΔRMN = ΔPMQ => PQ = RN

RM = MQ

• 24

AB = AB

∡ABD = ∡BAC  } => ΔABD = ΔBAC => AD = BC

AC = BD

∡ABD = ∡BAC => AB || CD =>  ABDC = trapez isoscel =>

=> daca AM = MB => CN = ND =>

AB si CD au acelasi mijloc