Assertion : If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.
Reason : The opposite angles of a parallelogram are equal.
Which of the following is correct?

A is true and R is false.

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A is false and R is true.

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Both A and R are true and R is the correct explanation of A.

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Both A and R are true and R is not the correct explanation of A.

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Solution

The correct option is D Both A and R are true and R is not the correct explanation of A.
Both A and R are correct, but R is not correct explanation of A.

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Similar questions

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.

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 following is not true for a parallelogram?

(a) Opposite sides are equal.

(b) Opposite angles are equal.

(d) Diagonals bisect each other.

Q. Question 13
Which of the following is not true for a parallelogram?
(A) opposite sides are equal
(B) opposite angles are equal
(C) opposite angles are bisected by the diagonals
(D) diagonals bisect each other.

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

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Assertion : If the diagonals of a quadrilateral bisect each other, then it is a parallelogram. Reason : The opposite angles of a parallelogram are equal. Which of the following is correct?

The correct option is D Both A and R are true and R is not the correct explanation of A. Both A and R are correct, but R is not correct explanation of A.

Assertion : If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.
Reason : The opposite angles of a parallelogram are equal.
Which of the following is correct?

The correct option is D Both A and R are true and R is not the correct explanation of A.
Both A and R are correct, but R is not correct explanation of A.