Quadrilaterals for Competitive Exam – Quantitative Aptitude

Quadrilaterals (चतुर्भुज) In Hindi

चार भुजाओं से घिरे समतल क्षेत्र को चतुर्भुज कहते हैं। किसी भी चतुर्भुज में चार भुजाएं तथा चार कोण होते हैं। चतुर्भुज के चारों कोणों का योगफल 360° होता हैं।

Quadrilaterals In English

A quadrilateral is a polygon with four sides, four vertices (corners), and four angles. The term “quadrilateral” is derived from Latin, where “quadri-” means four, and “latus” means side. The sum of the interior angles of any quadrilateral is always 360 degrees. Quadrilaterals can vary in shape and size, and they are categorized into different types based on their properties.

Types of Quadrilateral

Quadrilaterals are four-sided polygons, and they can be classified into various types based on their properties and characteristics. Here are some common types of quadrilaterals:

1.Trapezium
2.Parallelogram
3.Squares
4.Rectangle
5.Rhombus
6.Kite

Trapezoid: A trapezoid has exactly one pair of parallel sides. The parallel sides are called the bases of the trapezoid, and the non-parallel sides are called the legs.

Parallelogram: A parallelogram has two pairs of parallel sides. The opposite sides of a parallelogram are also congruent (equal in length), and the opposite angles are equal.

Square: A square is a special type of rectangle and rhombus that has all four sides congruent and all four angles right angles.

Rectangle: A rectangle is a special type of parallelogram that has four right angles. All four sides of a rectangle are also congruent.

Rhombus: A rhombus is a quadrilateral that has all four sides congruent. A rhombus is also a type of parallelogram, but unlike a rectangle, its angles are not necessarily right angles.

Kite: A kite is a quadrilateral that has two pairs of adjacent sides that are congruent. One pair of opposite angles in a kite is larger than the other pair.

Quadrilateral Formulas
The two basic formulas for quadrilaterals, are:
Area of Quadrilateral
Perimeter of Quadrilateral

Area of Quadrilateral

The area of the quadrilateral is the total space occupied by the figure. The area formula for the different quadrilaterals are:

Perimeter of Quadrilateral

The perimeter of a quadrilateral is the sum of the lengths of all four of its sides. The formula for calculating the perimeter of a quadrilateral is P = a + b + c + d, where a,b,c,andd represent the lengths of the individual sides.

For example, if ABCD is a quadrilateral, then the perimeter of ABCD is
Perimeter = AB+ BC + CD + DA

Perimeter