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प्रश्न
State, 'true' or 'false'
The diagonals of a parallelogram bisect each other at right angle.
पर्याय
True
False
उत्तर
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.
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संबंधित प्रश्न
ABCD is a rectangle in which diagonal AC bisects ∠A as well as ∠C. Show that:
- ABCD is a square
- diagonal BD bisects ∠B as well as ∠D.
ABCD is a rectangle with ∠ABD = 40°. Determine ∠DBC .
State, 'true' or 'false'
The diagonals of a rectangle bisect each other.
In the given figure, ST ∥ PR. Prove that: area of quadrilateral PQRS = area of ΔPQT.
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 given figure, if AB ∥ DC ∥ FG and AE is a straight line. Also, AD ∥ FC. Prove that: area of ∥ gm ABCD = area of ∥ gm BFGE.
The diagonals of a parallelogram ABCD intersect at O. A line through O meets AB in P and CD in Q. Show that
(a) Area of APQD = `(1)/(2)` area of || gm ABCD
(b) Area of APQD = Area of BPQC
A quadrilateral ABCD is such that diagonals BD divides its area into two equal parts. Prove that BD bisects AC.
Find the area of each of the following figure:
Two adjacent sides of a parallelogram are 20cm and 18cm. If the distance between the larger sides is 9cm, find the area of the parallelogram. Also, find the distance between the shorter sides.
Find the perimeter and area of a rectangle whose length and breadth are 12cm and 9cm respectively.
Find the perimeter of a rhombus whose diagonals are 24cm and 10cm.
The perimeter of a square plot of land is 64m. The area of a nearby rectangular plot is 24m2 more than the area of the given square. If the length of the rectangle is 14m, find its breadth.
The area of a square plot of side 80m is equal to the area of a rectangular plot of length 160m. Calculate the width of the rectangular plot and the cost of fencing it Rs.7.50per m.
PQRS is a square with each side 6cm. T is a point on QR such that the `"area of ΔPQT"/"area of trapezium PTRS" = (1)/(3)` Find the length of TR.
The opposite sides of a rectangle are equal in length.
Give reason for the following :
A square can be thought of as a special rectangle.
Give reasons for the following :
A rectangle can be thought of as a special parallelogram.
Examine whether the following is a polygon. If it is not, say why?
