Advertisements
Advertisements
Question
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
Advertisements
Solution
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
RELATED QUESTIONS
The angles of quadrilateral are in the ratio 3: 5: 9: 13. Find all the angles of the quadrilateral.
In ΔABC and ΔDEF, AB = DE, AB || DE, BC = EF and BC || EF. Vertices A, B and C are joined to vertices D, E and F respectively (see the given figure). Show that
(i) Quadrilateral ABED is a parallelogram
(ii) Quadrilateral BEFC is a parallelogram
(iii) AD || CF and AD = CF
(iv) Quadrilateral ACFD is a parallelogram
(v) AC = DF
(vi) ΔABC ≅ ΔDEF.
The following statement are true and false .
In a parallelogram, the diagonals intersect each other at right angles .
The following statement are true and false .
In any quadrilateral, if a pair of opposite sides is equal, it is a parallelogram.
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 .................
The bisectors of any two adjacent angles of a parallelogram intersect at
The figure formed by joining the mid-points of the adjacent sides of a rectangle is a
If one angle of a parallelogram is 24° less than twice the smallest angle, then the measure of the largest angle of the parallelogram is
Diagonals of a quadrilateral ABCD bisect each other. If ∠A= 45°, then ∠B =
ABCD is a parallelogram and E is the mid-point of BC. DE and AB when produced meet at F. Then, AF =
