Advertisements
Advertisements
Question
Diagonals of a parallelogram are perpendicular to each other. Is this statement true? Give reason for your answer.
Advertisements
Solution
The given statement is not true because diagonal of a parallelogram bisect each other.
APPEARS IN
RELATED QUESTIONS

Diagonals AC and BD of a parallelogram ABCD intersect each other at O. If OA = 3 cm and OD = 2 cm, determine the lengths of AC and BD.
Points P and Q have been taken on opposite sides AB and CD, respectively of a parallelogram ABCD such that AP = CQ (Figure). Show that AC and PQ bisect each other.

In a parallelogram ABCD, AB = 10 cm and AD = 6 cm. The bisector of ∠A meets DC in E. AE and BC produced meet at F. Find the length of CF.
A diagonal of a parallelogram bisects one of its angles. Show that it is a rhombus.
In the following figure, AB || DE, AB = DE, AC || DF and AC = DF. Prove that BC || EF and BC = EF.

ABCD is a rectangle in which diagonal BD bisects ∠B. Show that ABCD is a square.
If the diagonals of a quadrilateral bisect each other, it is a ______.
The point of intersection of diagonals of a quadrilateral divides one diagonal in the ratio 1:2. Can it be a parallelogram? Why or why not?
Two sticks each of length 7 cm are crossing each other such that they bisect each other at right angles. What shape is formed by joining their end points? Give reason.
