8/20/2019 Quantitative Aptitude_ Tips & Strategy- Some
Properties of Parallelograms, Triangles & Circles
1/2
1/19/2016 Quantitative Aptitude: Tips & Strategy- Some
Properties of Parallelograms, Triangles & Circles
http://www.jagranjosh.com/articles/quantitative-aptitude-tips-strategy-some-properties-of-parallelograms-triangles-circles-1428920037-1
The diagonals of parallelogram bisect each other.
Each diagonal of the parallelogram divides it into two triangles
of equal area.
The diagonals of a rectangle are of equal lengths and they
bisect each other.
The diagonals of a square are equal and they bisect each other
at right angles.
A rhombus has unequal diagonals and they bisect each other
at right angles.
A parallelogram and a rectangle have equal areas, if they
are on the same base and between the
same parallel lines.
Opposite angles are equal in a parallelogram but they are not
right angles.
* If the length and breadth of a rectangle are increased by a%
and b% respectively, then area will be
increased by
[For decrease take negative sign]
* If all the increasing sides of any two-dimensional figure are
changed by a%, then its area will be
changed by . In case of circle, radius (or diameter) is
increased in place of sides. [Fo
decrease take negative sign]
* If all the measuring sides of any two-dimensional figure are
changed (increased or decreased) by
a%, then its perimeter also changes by a%. In case of circle
such change takes palce because of the
change in radius (or diameter).
* If area of a square is a sq unit, then the area of the circle
formed by the same perimeter is given by
sq unit.
* Area of a square inscribed in a circle of radius r is equal to
2r 2.
* The area of the largest triangle inscribed in a semi-circle of
radius r is equal to r 2.
* If the side of equilateral triangle is a cm, then radius of
circle circumscribing the triangle, cm
and radius of circle inscribed in the triangle, .
* The area of the largest circle that can be drawn in a square
of side a is
* If a pathway of width x is made inside or
outside a rectangular plot of length l and breadth b,
then
area of pathway is
(i) 2 x (l + b + 2
x ), if path is made outside the plot.
(ii) 2 x (l + b – 2
x ), if path is made inside the plot.
