Maths Project For Class 8 // Understanding Quadrilateral Chapter-3 NCERT

Maths Project For Class 8 // Understanding Quadrilateral Chapter-3 NCERT

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*Types and Properties of Quadrilateral:

What is a Quadrilateral?

A quadrilateral is a plane figure that has four sides or edges, and also has four corners or vertices. The angles are present at the four vertices or corners of the quadrilateral. 

Types of Quadrilaterals

The types of quadrilaterals are defined based on the measure of the angles and lengths of their sides. As the word ‘Quad’ means four, all these types of a quadrilateral have four sides, and the sum of angles of these shapes is 360 degrees. The list of types of quadrilaterals are:

Trapezium

Parallelogram

Squares

Rectangle

Rhombus

Kite

Properties of Quadrilaterals:

Square Properties

All the sides of the square are of equal measure

The sides are parallel to each other

All the interior angles of a square are at 90 degrees (i.e., right angle)

The diagonals of a square perpendicular bisect each other

Rectangle Properties

The opposite sides of a rectangle are of equal length

The opposite sides are parallel to each other

All the interior angles of a rectangle are 90 degrees.

The diagonals of a rectangle bisect each other.

Rhombus Properties

All the four sides of a rhombus are of the same measure

The opposite sides of the rhombus are parallel to each other

The opposite angles are of the same measure

The sum of any two adjacent angles of a rhombus is equal to 180 degrees

The diagonals perpendicularly bisect each other

Parallelogram Properties

The opposite side of the parallelogram are of the same length

The opposite sides are parallel to each other

The diagonals of a parallelogram bisect each other

The opposite angles are of equal measure

The sum of two adjacent angles of a parallelogram is equal to 180 degrees

Properties of Trapezium

Only one pair of the opposite side of a trapezium is parallel to each other

The two adjacent sides of a trapezium are supplementary (180 degrees)

The diagonals of a trapezium bisect each other in the same ratio

Properties of Kite

The pair of adjacent sides of a kite are of the same length

The largest diagonal of a kite bisect the smallest diagonal 

Only one pair of opposite angles are of the same measure.

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