Show that the diagonals of a parallelogram bisect each other - Maths - Quadrilaterals

Question

Show that the diagonals of a parallelogram bisect each other ?

Rahul Sil · Accepted Answer

Dear Student,

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In //gm ABCD, AC and BD are diagonals of parallelogram
PROVE:OA=OC & OB=OD
ABCD is a parallelogram ,therefore
AB//DC and AD//BC
in triangle AOB and COD
AB=CD(opp sides of parallelogram are equal)
therefore triangle AOB= triangleCOD(ASA congurence
criterian)
OA=OC & OB=OD(cpct)
hence, prove that diangonals of parallelogram bisect each
other
Regards,