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Question
Which of the following is not a necessary condition for a quadrilateral ABCD to be a parallelogram:
Which of the following is not a necessary condition for a quadrilateral ABCD to be a parallelogram:
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Solution
The correct option is C: AB⊥AD
Option (A): When Opposite sides are parallel then we can say that it is a parallelogram.
Option (B): When opposite angles are equal and the sum of adjacent angles is 180∘, then also we can say that it is a parallelogram.
Option (C): When one side is perpendicular to other side of a quadrilateral, then in that we cannot say it is a parallelogram.
Option (D): When opposite sides are parallel then we can say that it is a parallelogram.
The correct option is C: AB⊥AD
Option (A): When Opposite sides are parallel then we can say that it is a parallelogram.
Option (B): When opposite angles are equal and the sum of adjacent angles is 180∘, then also we can say that it is a parallelogram.
Option (C): When one side is perpendicular to other side of a quadrilateral, then in that we cannot say it is a parallelogram.
Option (D): When opposite sides are parallel then we can say that it is a parallelogram.
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