Advertisements
Advertisements
Question
State, 'true' or 'false'
The diagonals of a parallelogram bisect each other at right angle.
Options
True
False
Solution
False
Consider a rectangle as shown below.
It is a parallelogram. However, the diagonals of a rectangle do not intersect at right angles, even though they bisect each other.
APPEARS IN
RELATED QUESTIONS
State, 'true' or 'false'
The diagonals of a rectangle bisect each other.
State, 'true' or 'false'
The diagonals of a quadrilateral bisect each other.
State, 'true' or 'false'
Each diagonal of a rhombus bisects it.
State, 'true' or 'false'
Every parallelogram is a rhombus.
State, 'true' or 'false'
Diagonals of a rhombus are equal.
In the figure, PT is parallel to SR. QTSR is a parallelogram and PQSR is a rectangle. If the area of ΔQTS is 60cm2, find:
(i) the area o || gm QTSR
(ii) the area of the rectangle PQRS
(iii) the area of the triangle PQS.
In the figure, if the area of ||gm PQRS is 84cm2; find the area of
(i) || gm PQMN
(ii) ΔPQS
(iii) ΔPQN
In the figure, PQR is a straight line. SQ is parallel to Tp. Prove that the quadrilateral PQST is equal in area to the ΔPSR.
In the figure, AE = BE. Prove that the area of triangle ACE is equal in area to the parallelogram ABCD.
Find the height of a parallelogram whose area is 144cm2 and the base is 18cm.
The area of a floor of a rectangular room is 360m2. If its length is 24cm, find its perimeter.
In a trapezium the parallel sides are 12cm and 8cm. If the distance between them is 6cm, find the area of the trapezium.
The side of a square exceeds the side of another square by 4cm and the sum of the areas of the squares is 400cm2. Find the dimensions of the squares.
A rectangular field is 80m long and 50m wide. A 4m wide runs through the centre of the field parallel to the length and breadth of the field. Find the total area of the roads.
In quadrilateral ABCD, ∠A + ∠D = 180º. What special name can be given to this quadrilateral?
ABCD is a trapezium in which AB || DC and ∠A = ∠B = 45º. Find angles C and D of the trapezium.
All the sides of a rhombus are of equal length.
Give reason for the following :
Squares, rectangles, parallelograms are all quadrilaterals.
Give reason for the following :
Square is also a parallelogram.
Name polygon.
Make two more examples of this.