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
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.

Diagonals of a parallelogram ABCD intersect at O. AL and CM are drawn perpendiculars to BD such that L and M lie on BD. Is AL = CM? 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 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 in the following, so as to make the statement true:
A square is a rhombus in which .....
The sides of a rectangle are in the ratio 2 : 3, and its perimeter is 20 cm. Draw the rectangle.
The sides of a rectangle are in the ratio 4 : 5. Find its sides if the perimeter is 90 cm.
Diagonals of a rectangle ABCD intersect at point O. If AC = 8 cm then find BO and if ∠CAD =35° then find ∠ACB.
Adjacent sides of a rectangle are 7 cm and 24 cm. Find the length of its diagonal.
ABCD is a rectangle whose diagonals AC and BD intersect at O. If ∠OAB = 46°, find ∠OBC
If the diagonals of a quadrilateral are equal and bisect each other, then the quadrilateral is a ______.
All squares are rectangles.
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.
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.
