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Diagonals of a Rhombus Bisect Each-Other at Right Angles

If the diagon...

Question

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

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Solution

(d) rhombus

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Similar questions

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

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. Prove that: If the diagonals of a quadrilateral bisect each other at right angles, then it is a rhombus.

Q. Show that if the diagonals of a quadrilateral bisect each other at right angles, then it is a rhombus.

Q. Question 3
Show that if the diagonals of a quadrilateral bisect each other at right angles, then it is a rhombus.

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Diagonals of a Rhombus Bisect Each-Other at Right Angles

Standard IX Mathematics

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