Question

If the diagonals of a quadrilateral bisect each other than quadrilateral is a parallelogram. Prove it.

Answer 1

Answer:

To prove -ABCD is a parallegam

PROOF- OA=OC. (GIVEN)

= angleAOB =angle COD(VERT OPP ANG)

= OB=OD. (GIVEN)

∆OAB.~= ∆OCD. (BY SAS)

ANGLE BAO =ANGLE DOC (CPCT)

AND SIMILAR IN ∆OAD AND∆ OCB