Properties of a Rectangle

Properties of a rectangle are similar to those of a parallelogram:

  • Opposite Sides are parallel to each other.
  • Opposite Sides of a rectangle are equal.
  • Diagonals bisect each other.
  • Diagonals of the rectangle are equal.
  • Each interior angle of a rectangle is equal i.e., 90°
  • The perimeter of a rectangle is equal to the sum of the lengths of all its sides i.e., 2(l + b) (where l and b are the length and breadth of rectangle respectively).
  • The area of a rectangle is equal to the product of its length and width i.e., l × b (where l and b are the length and breadth of the rectangle respectively).

Note: All rectangles are parallelogram, but all parallelograms are not rectangle.

Types of Quadrilaterals and Their Properties

A quadrilateral is a polygon with four sides, four vertices, and four angles. There are several types of quadrilaterals, each with its own properties and characteristics. All different types of quadrilaterals have very distinct shapes and properties which help us identify these quadrilaterals.

Types of Quadrilaterals and Their Properties

As we know, quadrilaterals are polygons with four sides, four interior angles, and four vertices. With its unique sets of properties and characteristics, there can be various quadrilaterals such as square, rectangle, parallelogram, rhombus, trapezium, and kite. 

Understanding these different types of quadrilaterals helps us understand the fundamentals of geometry and also helps us deal with further advanced topics in mathematics such as trigonometry and calculus.

In this article, we will explore the different types of quadrilaterals, Properties of Different Types of Quadrilaterals, and how they differ from one another.

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Types of Quadrilaterals

The word “Quadrilateral” is a combination of two Latin words ‘Quadri‘ means a variant of four, and ‘latus‘ means side, which has a combined meaning of “four sides”. As we already discussed in the introduction of the article Quadrilaterals can be defined as, types of polygons that have four sides, four vertices, and four angles along with a pair of diagonals.  Other than that, the Sum of the interior angles of quadrilaterals is 360°....

Different Types of Quadrilaterals

As there are many types of quadrilaterals, with each type having unique sets of properties and characteristics. The most common types of quadrilaterals which we will study in this article are:...

1. Square

A quadrilateral that has all sides equal and opposite sides parallel and all interior angles equal to 90° is called a Square. The diagram of the square is represented in the following illustration:...

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Some properties of Square are as follows:...

2. Rectangle

A rectangle is a quadrilateral in which there are two pair of equal and parallel sides with all the interior angle right angle, i.e. 90°. The following illustration shows the diagram of a general rectangle....

Properties of a Rectangle

Properties of a rectangle are similar to those of a parallelogram:...

3. Rhombus

A quadrilateral that has all sides equal and opposite sides parallel is called Rhombus. The following illustration shows the general diagram of Rhombus:...

Properties of a Rhombus

Properties of a rhombus are similar to those of a parallelogram:...

4. Parallelogram

A parallelogram is a special type of quadrilateral whose opposite sides are equal and parallel....

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5. Trapezium

A trapezium is a quadrilateral that has one pair of opposite sides parallel. The following illustration shows the general diagram of a trapezium:...

Properties of Trapezium

The different properties of the trapezium are as follows:...

6. Kite

A kite is a quadrilateral that has two pairs of adjacent sides that are equal in length. The following illustration shows the general diagram of a kite:...

Properties of Kite

The different properties of the quadrilateral kite are as follows:...

Examples of Quadrilaterals

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Properties of Different Types of Quadrilaterals

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Concave and Convex Quadrilaterals

Based on the value of internal angles, quadrilaterals or any other polygon can be classified into concave and convex....

Types of Quadrilaterals Examples

Problem 1: All rhombus are squares or all squares are rhombus. Which of these statements is correct and why?...

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1. Identify the type of quadrilateral formed by the following coordinates: A(1, 1), B(4, 2), C(3, 5), D(0, 4)....

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Define Quadrilateral....