In the question, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice:

Assertion: If the diagonals of a parallelogram ABCD are equal, then ∠ABC=90°.
Reason: If the diagonals of a parallelogram are equal, it becomes a rectangle.

Assertion (A) is true, but reason (R) is false.

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Both assertion (A) and reason (R) are true, but reason (R) is not the correct explanation of assertion (A).

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Assertion (A) is false, but reason (R) is true.

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Both assertion (A) and reason (R) are true, but reason (R) is the correct explanation of assertion (A).

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Solution

The correct option is D
Both assertion (A) and reason (R) are true, but reason (R) is the correct explanation of assertion (A).

Option A

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Similar questions

Q. Assertion: The diagonals of a || gm bisect each other.
Reason: If the diagonals of a || gm are equal and intersect at right angles, then the parallelogram is a square.
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

Q. If the diagonals of a parallelogram ABCD are equal then ∠ABC = ___________.

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?

Q. Assertion :If

| \to a + \to b | = | \to a - \to b |

, then

\to a

and

\to b

are perpendicular to each other Reason: If the diagonals of a parallelogram are equal in magnitude, then the parallelogram is a rectangle.

Q. In the question, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice:

Assertion: In a parallelogram PQRS, area of △PQS is equal to area of △QSR.
Reason: A diagonal of a parallelogram divides it into two congruent triangles.

A. Both assertion (A) and reason (R) are true, but reason (R) is the correct explanation of assertion (A).
B. Both assertion (A) and reason (R) are true, but reason (R) is not the correct explanation of assertion (A).
C. Assertion (A) is true, but reason (R) is false.
D. Assertion (A) is false, but reason (R) is true.

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In the question, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice: Assertion: If the diagonals of a parallelogram ABCD are equal, then ∠ABC=90°. Reason: If the diagonals of a parallelogram are equal, it becomes a rectangle.

The correct option is D Both assertion (A) and reason (R) are true, but reason (R) is the correct explanation of assertion (A). Option A

In the question, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice:

Assertion: If the diagonals of a parallelogram ABCD are equal, then ∠ABC=90°.
Reason: If the diagonals of a parallelogram are equal, it becomes a rectangle.

The correct option is D
Both assertion (A) and reason (R) are true, but reason (R) is the correct explanation of assertion (A).

Option A