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Trapezium

The diagonals...

Question

The diagonals of a qudrilateral bisect each other. This quadrilateral is a

(a) rectangle
(b) kite
(c) trapezium
(d) none of these

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Solution

(a) Rectangle
( The diagonals of a parallelogram bisect each other and Rectangle is a parallelogram.)

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Q. If the diagonals of a quadrilateral bisect each other at right angles, then this quadrilateral is
(a) a rectangle
(b) a rhombus
(c) a kite
(d) none of these

If the diagonals of a quadrilateral bisect each other at right angles then the figure is a

(a) trapezium

(b) parallelogram

(c) rectangle

(d) rhombus

Q. The diagonals of a quadrilateral ABCD are perpendicular to each other. Prove that the quadrilateral formed by joining the midpoints of its sides is a rectangle.

Q. A quadrilateral whose opposite sides are parallel is called

(a) a rhombus
(b) a kite
(c) a trapezium
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In which of the following quadrilaterals, diagonals bisect each other?

i) Parallelogram

ii) Rhombus

iii) Rectangle

iv) Square

v) Kite

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