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Converse of Diagonals of a Parallelogram Bisect Each Other

Question 50If...

Question

Question 50
If a diagonal of a quadrilateral bisects both the angles, then it is a
a) Kite
b) Parallelogram
c) Rhombus
d) Rectangle

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Solution

If a diagonal of a quadrilateral bisects both the angles, then it is a 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

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. 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)

The diagonals do not necessarily intersect at right angles in a

(a) parallelogram

(b) rectangle

(c) rhombus

(d) kite

If a diagonal of a parallelogram bisects one of its angles, then it is a rhombus.

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Converse of Diagonals of a Parallelogram Bisect Each Other

Standard IX Mathematics

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