Advertisements
Advertisements
Question
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?
Advertisements
Solution
No, it cannot be a parallelogram because the diagonal of a parallelogram are always bisect each other i.e. in the ratio 1:1.
APPEARS IN
RELATED QUESTIONS

The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O. If ∠DAC = 32º and ∠AOB = 70º, then ∠DBC is equal to ______.
Diagonals of a parallelogram are perpendicular to each other. Is this statement true? Give reason for your answer.
E and F are points on diagonal AC of a parallelogram ABCD such that AE = CF. Show that BFDE is a parallelogram.
A diagonal of a parallelogram bisects one of its angles. Show that it is a rhombus.
ABCD is a rectangle in which diagonal BD bisects ∠B. Show that ABCD is a square.
P is the mid-point of the side CD of a parallelogram ABCD. A line through C parallel to PA intersects AB at Q and DA produced at R. Prove that DA = AR and CQ = QR.
If the diagonals of a quadrilateral bisect each other, it is a ______.
If diagonals of a quadrilateral bisect each other, it must be a parallelogram.
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.
