Advertisements
Advertisements
प्रश्न
State with reason whether the following statement is ‘true’ or ‘false’.
Every parallelogram is a rectangle.
विकल्प
True
False
Advertisements
उत्तर
This statement is False.
Reason:
If all angles of a quadrilateral are right angles, then it is a rectangle. It is not necessary for all angles of a parallelogram to be right angles. Therefore, not every parallelogram is a rectangle.
APPEARS IN
संबंधित प्रश्न
Explain why a rectangle is a convex quadrilateral.
ABC is a right-angled triangle and O is the mid point of the side opposite to the right angle. Explain why O is equidistant from A, B and C. (The dotted lines are drawn additionally to help you)

In a parallelogram ABCD, the diagonals bisect each other at O. If ∠ABC = 30°, ∠BDC = 10° and ∠CAB = 70°. Find:
∠DAB, ∠ADC, ∠BCD, ∠AOD, ∠DOC, ∠BOC, ∠AOB, ∠ACD, ∠CAB, ∠ADB, ∠ACB, ∠DBC and ∠DBA.
The angle between the altitudes of a parallelogram, through the same vertex of an obtuse angle of the parallelogram is 60°. Find the angles of the parallelogram.

In the following figure, BDEF and DCEF are each a parallelogram. Is it true that BD = DC? Why or why not?

In Fig. 17.29, suppose it is known that DE = DF. Then, is ΔABC isosceles? Why or why not?
Which of the following statement is true for a rectangle?
It has all its sides of equal length.
Which of the following statement is true for a rectangle?
Its diagonals are perpendicular and bisect each other.
Fill in the blank in the following, so as to make the statement true:
A rectangle is a parallelogram in which .....
Fill in the blank of the following, so as to make the statement true:
A square is a rectangle in which .....
A mason has made a concrete slab. He needs it to be rectangular. In what different ways can he make sure that it is rectangular?
Diagonals of a rectangle ABCD intersect at point O. If AC = 8 cm then find BO and if ∠CAD =35° then find ∠ACB.
ABCD is a rectangle whose diagonals AC and BD intersect at O. If ∠OAB = 46°, find ∠OBC
If the adjacent angles of a parallelogram are equal, then the parallelogram is a ______.
A parallelogram PQRS is constructed with sides QR = 6 cm, PQ = 4 cm and ∠PQR = 90°. Then PQRS is a ______.
Every rectangle is a trapezium.
A playground is in the form of a rectangle ATEF. Two players are standing at the points F and B where EF = EB. Find the values of x and y.

Quadrilateral EFGH is a rectangle in which J is the point of intersection of the diagonals. Find the value of x if JF = 8x + 4 and EG = 24x – 8.
