Question

To prove diagonals of a parallogram bisect each other in∆POS and ∆ROQ​

Answer 1

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⟹ Asked :-

To prove diagonals of a parallogram bisect each other in∆POS and ∆ROQ .

⟹ Solution :-

ABCD is a parallelogram , Diagonals AC and BD intersect at point O .

In ∆ AOD and ∆ COB

∠ DAO = ∠ BCO ( alternate interior ∠ )

AD = CB ( given )

∠ ADO = ∠ CBO ( alternate interior ∠ )

so, ∆ AOD ∆ COB ( By A.S.A criteria )

Hence , AO = CO and OD = OB (by CPCT )

Thus Diognal of parallelogram bisect each other .

hαppч lєαrníng ! :D

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⠀Note :-

See the attached Image ..!!