    Question

# Which among the given statements is correct?

A
Only 2
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B
Only 3
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C
Both 2 & 3
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D
All of them
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Solution

## The correct option is B Only 3 Each diagonal of a parallelogram separates it into two congruent triangles, and they bisect each other. They are not necessarily perpendicular (The diagonals of a parallelogram are perpendicular only when the parallelogram is a rhombus or a square. This statement is incorrect. Diagonals in a rectangle bisect each other and are equal. They aren't perpendicular to each other unless the rectangle is a square. This statement is incorrect. The diagonals of a rhombus or a kite intersect each other at right angles. So, when the diagonals of a quadrilateral intersect each other at right angles, the quadrilateral could be a kite or a rhombus. It's not necessarily a rhombus. Hence, this statement is correct. Quadrilaterals with special properties have been given special names. In a parallelogram, opposite sides are equal and parallel. In a trapezium, the opposite sides are parallel. In a kite, adjacent sides are equal. If a quadrilateral has four unequal sides or just one pair of equal sides, none of which are parallel in either case, then it is neither a parallelogram nor a kite, nor a trapezium.   Suggest Corrections  0      Similar questions  Related Videos     