InterviewSolution
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InterviewSolution
| 1. |
Which of the followingstatements are true (T) and which are false (F)?In a parallelogram, thediagonals are equal.In a parallelogram, thediagonals bisect each other.In a parallelogram, thediagonals intersect each other at right angles.In any quadrilateral,if a pair of opposite sides is equal, it is a parallelogram.If all the angles of aquadrilateral are equal, it is a parallelogram.If three sides of aquadrilateral are equa, it is a parallelogram.If three angles of aquadrilateral are equal, it is a parallelogram.If all the sides of aquadrilateral are equal it is a parallelogram |
| Answer» (i) False. Diagonals of parallelogram are not necessarily equal.(ii) True. This is a known property of a parallelogram.(iii) False. The diagonals of a parallelogram can intersect at any angle.(iv) False. A quadrilateral can only be called a parallelogram if both pairs of its opposite sides are equal.(v) True. If all angles are equal, then it means its opposite angles are also equal which is a condition for a quadrilateral to be called parallelogram.(vi) False. Main condition of parallelogram includes parallelism of the sides.(vii) False. Both pair of opposite angles should be equal in order for a quadrilateral to be called a parallelogram.(viii) True. If all sides are equal then, opposite sides are also equal. | |