Advertisements
Advertisements
Question
State with reason whether the following statement is ‘true’ or ‘false’.
Every parallelogram is a rectangle.
Options
True
False
Advertisements
Solution
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
RELATED QUESTIONS
Name the quadrilaterals whose diagonals are equal
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.

Which of the following statement is true for a square?
It is a rectangle.
Which of the following statement true for a square?
Its diagonals bisect each other at right angle.
Fill in the blank of the following, so as to make the statement true:
A square is a rectangle in which .....
Using opposite angles test for parallelogram, prove that every rectangle is a parallelogram.
Prove that quadrilateral formed by the intersection of angle bisectors of all angles of a parallelogram is a rectangle.

Diagonals of a rectangle ABCD intersect at point O. If AC = 8 cm then find BO and if ∠CAD =35° then find ∠ACB.
Draw a rectangle ABCD such that l(AB) = 6.0 cm and l (BC) = 4.5 cm.
If the diagonals of a parallelogram are of equal lengths, the parallelogram is a rectangle. Prove it.
The interior angle made by the side in a parallelogram is 90° then the parallelogram is a
All squares are rectangles.
Rectangle is a regular quadrilateral.
If diagonals of a quadrilateral are equal, it must be a rectangle.
Every rectangle is a trapezium.
A line l is parallel to line m and a transversal p intersects them at X, Y respectively. Bisectors of interior angles at X and Y interesct at P and Q. Is PXQY a rectangle? Given reason.
Construct a rectangle whose one side is 3 cm and a diagonal equal to 5 cm.
