Which of these is a condition for a parallelogram to be a rhombus?

Diagonals are perpendicular

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Diagonals are angle bisectors

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Both A and B

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Neither A nor B

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Solution

The correct option is C
Both A and B

Both the options “Diagonals are perpendicular” and “Diagonals are angle bisectors” will ensure that a parallelogram is a rhombus

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Q. State the necessary condition for following statement to be true
'Parallelogram is a rhombus'

Which of these is a condition for a parallelogram to be a rectangle?

Which of these is a condition for a parallelogram to be a square?

Prove that the area of the parallelogram formed by the lines.

$a_{1} x + b_{1} y + c_{1} = 0, a_{1} x + b_{1} y + d_{1} = 0, a_{2} x + b_{2} y + c_{2} = 0, a_{2} x + b_{2} y + d_{2} = 0$ is $∣ ∣ \frac{(d_{1} - c_{1}) (d_{2} - c_{2})}{a_{1} b_{2} - a_{2} b_{1}} ∣ ∣$ sq. units.

Deduce the condition for these lines to form a rhombus.

Q. Prove that the area of the parallelogram formed by the lines a₁x + b₁y + c₁ = 0, a₁x + b₁y + d₁ = 0, a₂x + b₂y + c₂ = 0, a₂x + b₂y + d₂ = 0 is

|\frac{(d_{1} - c_{1}) (d_{2} - c_{2})}{a_{1} b_{2} - a_{2} b_{1}}|

sq. units.
Deduce the condition for these lines to form a rhombus.

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Which of these is a condition for a parallelogram to be a rhombus?

The correct option is C Both A and B Both the options “Diagonals are perpendicular” and “Diagonals are angle bisectors” will ensure that a parallelogram is a rhombus

The correct option is C
Both A and B

Both the options “Diagonals are perpendicular” and “Diagonals are angle bisectors” will ensure that a parallelogram is a rhombus