In a parallelogram,do the diagonals bisect each other?

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Solution

Properties of Parallelogram:
1. Opposite sides of a parallelogram are equal and parallel to each other.
2. Opposite angles of a parallelogram are equal.
3. Diagonals of a parallelogram always bisect each other.

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

Q. Diagonals of a parallelogram bisect each other.

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

Q. The diagonals of a parallelogram bisect each other.

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In a parallelogram,do the diagonals bisect each other?

Properties of Parallelogram:1. Opposite sides of a parallelogram are equal and parallel to each other.2. Opposite angles of a parallelogram are equal.3. Diagonals of a parallelogram always bisect each other.

Properties of Parallelogram:
1. Opposite sides of a parallelogram are equal and parallel to each other.
2. Opposite angles of a parallelogram are equal.
3. Diagonals of a parallelogram always bisect each other.