Advertisements
Advertisements
प्रश्न
PQRS is a quadrilateral, PR and QS intersect each other at O. In which of the following case, PQRS is a parallelogram?
OP = 6.5 cm, OQ = 6.5 cm, OR = 5.2 cm, OS = 5.2 cm
Advertisements
उत्तर
We have a quadrilateral named PQRS, with diagonals PR and QS intersecting at O.
OP = 6.5 cm, OQ = 6.5 cm, OR = 5.2 cm, OS = 5.2 cm
We know that the diagonals of a parallelogram bisect each other.
But, here we have
OP ≠ OR
And OQ ≠ OS
Therefore,
PQRS is not a parallelogram.
APPEARS IN
संबंधित प्रश्न
The angles of quadrilateral are in the ratio 3: 5: 9: 13. Find all the angles of the quadrilateral.
Show that if the diagonals of a quadrilateral are equal and bisect each other at right angles, then it is a square.
The following statement are true and false.
In a parallelogram, the diagonals bisect each other.
If measures opposite angles of a parallelogram are (60 − x)° and (3x − 4)°, then find the measures of angles of the parallelogram.
In the given figure, ABCD and AEFG are two parallelograms. If ∠C = 58°, find ∠F.
Complete the following statement by means of one of those given in brackets against each:
If one angle of a parallelogram is a right angle, then it is necessarily a .................
Complete the following statement by means of one of those given in brackets against each:
Consecutive angles of a parallelogram are ...................
PQRS is a quadrilateral, PR and QS intersect each other at O. In which of the following case, PQRS is a parallelogram?
PQ = 7 cm, QR = 7 cm, RS = 8 cm, SP = 8 cm
The figure formed by joining the mid-points of the adjacent sides of a quadrilateral is a
Diagonals of a quadrilateral ABCD bisect each other. If ∠A= 45°, then ∠B =
