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Question 2 Fo...

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Question 2
For which of the following, diagonals bisect each other?
a) Square
b) Kite
c) Trapezium
d) Quadrilateral

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Solution

We know that the diagonals of a square bisect each other but the diagonals of a trapezium, kite and quadrilateral do not bisect each other.

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Similar questions

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

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

In which of the following quadrilaterals, diagonals bisect each other?

i) Parallelogram

ii) Rhombus

iii) Rectangle

iv) Square

v) Kite

Q. Which of the quadrilaterals mentioned in brackets have the following properties?

(1) Diagonals are congruent. (square, rectangle, rhombus)
(2) The longer diagonal is the perpendicular bisector of the shorter and the shorter of the longer. (trapezium, kite, rhombus)
(3) All sides and angles are congruent. (rhombus, square, rectangle)
(4) Opposite angles are congruent. (kite, parallelogram, rectangle)
(5) Opposite sides are congruent. (trapezium, rectangle, parallelogram)
(6) Diagonals bisect each other at right angles. (square, rectangle, rhombus)
(7) Diagonals bisect each another. (rectangle, parallelogram, kite)
(8) One pair of opposite sides is parallel. (kite rhombus trapezium)

Q. Question 5
Show that if the diagonals of a quadrilateral are equal and bisect each other at right angles, then it is a square.

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

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