Question

represent the family of quadrilaterals with types, definition, formula and their properties of sides and angles​

Answer 1

Step-by-step explanation:

Given that: Represent the family of quadrilaterals with types, definition, formula and their properties of sides and angles.

Solution: To represent the family of quadrilateral,one have to know the basic that it has

1) Four vertices

2) Four sides

3) Four Internal angles(sum of all four internal angles are 360°)

4) Two diagonals

Based on the all four points,Quadrilateral

can be classified as following types

1) Square

2) Rhombs

3) Rectangle

4) Parallelogram

5) Trapezium

6) Kite

Details and property of different Quadrilateral

1) Square: A closed figure of four vertices,where all sides are equal and parallel ,all angles are right angles and both diagonals are equal.

Area of square= side× side

2) Rhombus: A closed figure of four vertices,where all sides are equal and parallel ,opposite angles are equals,

sum of adjacent angles are 180°and both diagonals are different.

Area of Rhombus = 1/2(diagonal 1× diagonal 2)

3) Rectangle: A closed figure of four vertices,where opposite sides are equal and parallel ,all angles are right angles and both diagonals are equal.

Area of Rectangle= Length×Breadth

4) Parallelogram: A closed figure of four vertices,where opposite sides are equal and parallel ,opposite angles are equals,

sum of adjacent angles are 180°and both diagonals are different.

Area of Parallelogram: Base×Altitude

5) Trapezium:A closed figure of four vertices,two opposite sides are parallel and two other are nonparallel.

Area of Trapezium: 1/2(sum of parallel sides)×Altitude

6) Kite: A closed figure of four vertices where two adjacent upper sides are equal and small as compared to other to equal sides.One diagonal is small and other is bigger.

Area of kite=1/2(diagonal1×diagonal2)

Hope it helps you.