types of quadrilaterals what are their properties
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Answer:
Step-by-step explanation:
Different types of quadrilaterals
There are 5 types of quadrilaterals on the basis of their shape. These 5 quadrilaterals are:
- Rectangle
- Square
- Parallelogram
- Rhombus
- Trapezium
Rectangle
A rectangle is a quadrilateral with four right angles. Thus, all the angles in a rectangle are equal (360°/4 = 90°). Moreover, the opposite sides of a rectangle are parallel and equal, and diagonals bisect each other.
Properties of quadrilaterals rectangle
Properties of rectangles
A rectangle has three properties:
All the angles of a rectangle are 90°
Opposite sides of a rectangle are equal and Parallel
Diagonals of a rectangle bisect each other
Rectangle formula – Area and perimeter of a rectangle
If the length of the rectangle is L and breadth is B then,
Area of a rectangle = Length × Breadth or L × B
Perimeter of rectangle = 2 × (L + B)
These practice questions will help you solidify the properties of rectangles
Square
Square is a quadrilateral with four equal sides and angles. It’s also a regular quadrilateral as both its sides and angles are equal. Just like a rectangle, a square has four angles of 90° each. It can also be seen as a rectangle whose two adjacent sides are equal.
Properties of quadrilaterals square
Properties of a square
For a quadrilateral to be a square, it has to have certain properties. Here are the three properties of squares:
All the angles of a square are 90°
All sides of a square are equal and parallel to each other
Diagonals bisect each other perpendicularly
Square formula – Area and perimeter of a square
If the side of a square is ‘a’ then,
Area of the square = a × a = a²
Perimeter of the square = 2 × (a + a) = 4a
These practice questions will help you solidify the properties of squares
Parallelogram
A parallelogram, as the name suggests, is a simple quadrilateral whose opposite sides are parallel. Thus, it has two pairs of parallel sides. Moreover, the opposite angles in a parallelogram are equal and its diagonals bisect each other i.e., intersect each other at 90°.
Properties of quadrilaterals parallelogram
Properties of parallelogram
A quadrilateral satisfying the below-mentioned properties will be classified as a parallelogram. A parallelogram has four properties:
Opposite angles are equal
Opposite sides are equal and parallel
Diagonals bisect each other
Sum of any two adjacent angles is 180°
Parallelogram formulas – Area and perimeter of a parallelogram
If the length of a parallelogram is ‘l’, breadth is ‘b’ and height is ‘h’ then:
Perimeter of parallelogram= 2 × (l + b)
Area of the parallelogram = l × h
These practice questions will help you solidify the properties of parallelogram
Rhombus
A rhombus is a quadrilateral whose all four sides are equal in length and opposite sides are parallel to each other. However, the angles are not equal to 90°. A rhombus with right angles would become a square. Another name for rhombus is ‘diamond’ as it looks similar to the diamond suit in playing cards.
Properties of quadrilaterals rhombus
Properties of rhombus
A rhombus is a quadrilateral which has the following four properties:
Opposite angles are equal
All sides are equal and, opposite sides are parallel to each other
Diagonals bisect each other perpendicularly
Sum of any two adjacent angles is 180°
Rhombus formulas – Area and perimeter of a rhombus
If the side of a rhombus is a then, perimeter of a rhombus = 4a
If the length of two diagonals of the rhombus is d1 and d2 then the area of a rhombus = ½ × d1 × d2
These practice questions will help you solidify the properties of rhombus
Trapezium
A trapezium (called Trapezoid in the US) is a quadrilateral which has only one pair of parallel sides. The parallel sides are referred to as ‘bases’ and the other two sides are called ‘legs’ or lateral sides.
Properties of quadrilaterals trapezium trapezoid
Properties of Trapezium
A trapezium is a quadrilateral in which the following one property:
Only one pair of opposite sides are parallel to each other
Trapezium formulas – Area and perimeter of a trapezium
If the height of a trapezium is ‘h’ (as shown in the above diagram) then:
Perimeter of the trapezium= Sum of lengths of all the sides = AB + BC + CD + DA
Area of the trapezium = ½ × (Sum of lengths of parallel sides) × h = ½ × (AB + CD) × h