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

Statements 2 and 4

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Statement 3

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Statement 4

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Statements 3 and 4

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Solution

The correct option is D
Statements 3 and 4

Let us determine the truth of each statement one by one The statement

1.Diagonals of the parallelogram bisect each other, is correct The statement

2.If the Diagonals of a quadrilateral bisect each other,it is a parallelogram, , is correct The statement

3.Diagonals of a parallelogram are equal, is not correct The statement

4.Diagonals of the parallelogram are perpendicular to each other, is not correct

Therefore, Statements 3 and 4 are incorrect.

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Similar questions

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

If the diagonals bisect each other in a quadrilateral, then, it is a parallelogram.

Q. Diagonals of a parallelogram bisect each other.

Which of the following statements are true (T) and which are false (F) ?

(i) In a parallelogram, the diagonals are equal.

(ii) In a parallelogram, the diagonals bisect each other.

(iii) In a parallelogram, the diagonals bisect each other at right angles.

(iv) In any quadrilateral, if a pair of opposite sides is equal, it is a parallelogram.

(v) If all the angles of a quadrilateral are equal, it is a parallelogram.

(vi) If three sides of a quadrilateral are equal, it is a parallelogram.

(vii) If three angles of a quadrilateral are equal, it is a parallelogram

(viii) If all the sides of a quadrilateral are equal it is a parallelogram.

Q. If the diagonals of a quadrilateral bisect each other then quadrilateral is a parallelograms. Prove it

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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

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