Diagonals of a parallelogram bisect each other.

Not sure

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Sometimes

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Yes

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Solution

The correct option is D Yes

We have to prove diagonals of parallelogram $A B C D$ bisect each other.
As $O A = O C$ and $O B = O D$
Now, in $Δ A O D$ and $Δ B O C$
$A D = B C$ [opposite sides are equal]
$∠ A D O = ∠ C B O$ [alternate interior angle]
Similarly, $∠ D A O = ∠ B C O$
$Δ A O D ≅ Δ B O C$ by (ASA rule)
Therefore, $O A = O C$ & $O B = O B$ [ By CPCT]

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The diagonals of a parallelogram bisect each other at right angle,

Prove logically the diagonals of a parallelogram bisect each other. Show conversely that a quadrilateral in which diagonals bisect each other is a parallelogram.

Which of the given statements is incorrect

1.Diagonals of the parallelogram bisect each other.
2.If the Diagonals of a quadrilateral bisect each other,it is a parallelogram.
3.Diagonals of a parallelogram are equal.
4.Diagonals of the parallelogram are perpendicular to each other

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