In a parallelogram abcd, ab=2bc, ad is produced both ways so that am=ad=dn show that bn is peoendicular to - Maths - Quadrilaterals

Question

In a parallelogram abcd, ab=2bc, ad is produced both ways so that
am=ad=dn show that bn is peoendicular to cm

Anuradha Sharma · Accepted Answer

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Since AP = PB = BC = AM and ∠M = ∠1= ∠2So △AMP≅△BPCAgain AB = AN ∠3 = ∠4Now from triangle MNO, BPO the third angle ∠MON = ∠POB and these are adjacent angle so Each of them is right angle

In a parallelogram abcd, ab=2bc, ad is produced both ways so that am=ad=dn. show that bn is peoendicular to cm