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?
PQ = 7 cm, QR = 7 cm, RS = 8 cm, SP = 8 cm
उत्तर
We have a quadrilateral named PQRS, with diagonals PR and QS intersecting at O.
PQ = 7 cm, QR = 7 cm, RS = 8 cm, SP = 8 cm
Clearly, PQ ≠ RS
And QR ≠SP
Thus, we have PQRS as a quadrilateral with opposite sides not equal
Therefore,
PQRS is not a parallelogram.
APPEARS IN
संबंधित प्रश्न
Show that if the diagonals of a quadrilateral bisect each other at right angles, then it is a rhombus.
Show that if the diagonals of a quadrilateral are equal and bisect each other at right angles, then it is a square.
ABCD is a rhombus. Show that diagonal AC bisects ∠A as well as ∠C and diagonal BD bisects ∠B as well as ∠D.
The perimeter of a parallelogram is 22 cm. If the longer side measures 6.5 cm, what is the measure of shorter side?
If measures opposite angles of a parallelogram are (60 − x)° and (3x − 4)°, then find the measures of angles of the parallelogram.
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?
∠P =85°, ∠Q = 85°, ∠R = 95°
The bisectors of the angle of a parallelogram enclose a
ABCD is a parallelogram, M is the mid-point of BD and BM bisects ∠B. Then ∠AMB =
The diagonals of a parallelogram ABCD intersect at O. If ∠BOC = 90° and ∠BDC = 50°, then ∠OAB =