Table of Contents
Type of quadrilaterals and its properties| Diagrams
In this content ,we will come to know the types of quadrilateral and the properties of quadrilaterals. Quadrilateral is consists of four sides. Here we define how many type of quadrilaterals are there and its properties .
Quadrilaterals
Types of quadrilaterals
- Convex quadrilateral
- Concave quadrilateral
- Intersecting quadrilateral/crossed quadrilateral
- Rectangle
- Square
- Rhombus
- Parallelogram
- Trapezium
- Kite.
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| Type of quadrilaterals and its properties| Diagrams |
Types of quadrilaterals and its properties with diagrams
- four sides
- four angles
sum of all four angles is 360°.
- Rectangle
- Square
- Rhombus
- Parallelogram
- Trapezium
- Kite.
Properties of Rectangle
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| Type of quadrilaterals and its properties| Diagrams |
- Rectangle consists of four sides .out of four sides opposite sides are equal and parallel.
- all angles are right angle .
- diagonals are in same length.
- diagonals bisect each other.
- A diagonal divides the rectangle into two equal triangles.
- likewise two diagonals creates four triangles after bisection in rectangle and opposite triangles formed by bisection are equal .
2. Properties of square:-
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| Type of quadrilaterals and its properties| Diagrams |
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- All four sides are equal
- All angles are right angle
- Opposite sides are parallel to each other.
- The two diagonals are equal and bisect each other at 90°.
- The diagonal bisect vertex angle.
Properties of Rhombus
Type of quadrilaterals and its properties| Diagrams - A rhombus is a quadrilateral, which means it has four sides and each of these sides are congruent.
- The opposite sides of a rhombus are parallel to each other.
- A rhombus has opposite angles that are congruent.
- The diagonals of a rhombus are perpendicular.
- The diagonals of a rhombus form four congruent interior triangles.
- The diagonals of a rhombus bisect each other.
- A rhombus has all the properties of parallelogram.
- All rhombuses are not square but all squares are rhombus.
- The diagonals of a rhombus bisect each other but do not have the same length.
- diagonals are angle bisector.
Properties of Parallelogram
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| Type of quadrilaterals and its properties| Diagrams |
- Opposite sides are congruent and parallel of a parallelogram.
- The opposite angles are congruent.
- Consecutive angles are supplementary . means<A+<D=180°.
- Diagonals bisect each other.
- Each diagonal of a parallelogram separates it into two congruent triangles.
Properties of Trapezium
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| Type of quadrilaterals and its properties| Diagrams |
- One pair of opposite side of Trapezium is parallel
- Consecutive angles are supplementary. i.e. <A+<D=180°
- The line that joins the mid point of two non parallel sides is always parallel to the base of the trapezium (mid-segment=(AB+CD) /2).
- Sum of the internal angles is 360°.
Properties of Kite
Type of quadrilaterals and its properties| Diagrams
- Kite has four sides
- Diagonals are perpendicular to each other.
- One of the Diagonal bisect other one.
- angles between unequal sides are equal.
- Kite is special quadrilateral with two pairs of equal adjacent sides.
Formulas of quadrilaterals
Area
Types of Quadrilateral
Formulas of Quadrilateral:-Area
Rectangle
Length*width
Square
Side*side
Rhombus
½*diagonal1*diagonal2
Parallelogram
Base*height
Trapezium
½*sum of two parallel sides*height
kite
½*diagonal1*diagonal2
Perimeter
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Types of Quadrilateral |
Formulas of Quadrilateral:-Perimeter |
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Rectangle |
2(length + breadth) |
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Square |
4*side |
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Rhombus |
4*side |
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Parallelogram |
2(length + breadth) |
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Trapezium |
sum of all four sides. |
|
kite |
sum of all four sides. |
Example 2:-Find the area and perimeter of a square of side 8cm.
Answer:-Area of a square = a² .
so 8²=64 cm².
perimeter of a square= 4a
so perimeter of this square=4*8=32 cm.
Example 3:-Find the area of a rhombus whose diagonals are 6cm and 8cm respectively.
Answer: According to formula area =1/2*d₁*d₂.
d₁=6cm
d₂=8cm
area=1/2*d₁*d₂.
= 1/2*6*8cm
=24cm².
Example 4:- Find quadrilaterals around us.
Answer; As we know Quadrilateral is a closed figure in two dimension having four sides. And types of quadrilateral are rectangle, square, rhombus, parallelogram, trapezium and kite.
The things which are in shape of rectangle, square, trapezium, parallelogram, rhombus and kite are said to be the quadrilaterals around us.
List of Quadrilaterals around us.
- Mobile phone
- Tv
- Table
- kite
- Black board
- windows and doors
- Books
- Walls
- Photo frames
- Refrigerators
- Chess Board
- Playing Cards
etc. those are in quadrilateral shapes (only shapes ).
Frequently Asked Questions
1.How many types of quadrilateral are there?
Ans-Mainly six types of quadrilateral are there.
- Rectangle
- Square
- Rhombus
- Parallelogram
- Trapezium
- Kite.
2.What are properties of quadrilaterals?
Ans-Basic properties of quadrilaterals are
- four sides
- four angles.
- sum of all four angles is 360°. According to the type of quadrilaterals properties are listed in above content.
3. What is a quadrilateral formula?
Ans- Types of Quadrilaterals with their formula
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Types of Quadrilaterals |
Area |
Perimeter |
|
Rectangle |
Length*width |
2(length + breadth) |
|
Square |
Side*side |
4*side |
|
Rhombus |
½*diagonal1*diagonal2 |
4*side |
|
Parallelogram |
Base*height |
2(length + breadth) |
|
Trapezium |
½*sum of two parallel sides*height |
sum of all four sides. |
|
Kite |
½*diagonal1*diagonal2 |
sum of all four sides. |