Quadrilateral
What is Quadrilateral?
A quadrilateral can be defined as a type of polygon that has four sides, four vertices, and four angles along with a pair of diagonals. The Sum of interior angles of a quadrilateral is 360°.
How Many Types of Quadrilateral are there?
Here are the main types of quadrilaterals:
- Square: All sides are equal, and all angles are right angles (90 degrees).
- Rectangle: Opposite sides are equal and parallel, and all angles are right angles.
- Rhombus: All sides are equal, but angles are not necessarily right angles. Opposite angles are equal, and opposite sides are parallel.
- Parallelogram: Opposite sides are equal and parallel. Opposite angles are equal, but not all angles have to be right angles.
- Trapezium : At least one pair of opposite sides is parallel. A trapezium has at least one pair of parallel sides.
- Kite: Two pairs of adjacent sides are of equal length. One diagonal bisects the other at right angles.
What is the Sum of Interior Angles of Quadrilateral?
The sum of the interior angles of a quadrilateral is 360°. The same case applies to all quadrilateral shapes.
How To Find the Area of Quadrilateral?
The area of a quadrilateral is defined as the space covered by the quadrilateral shape in 2-dimensional space. The different types of quadrilateral have different formula for area according to their properties. For example, the area of square is a2 where, a is the side length, the area of rectangle is l × b, where l and b are the length and breadth respectively, etc.
What is Cyclic Quadrilateral?
A cyclic quadrilateral is defined as that quadrilateral in which all the four vertices of the quadrilateral lie on the circumference of a circle.
What are Properties of Quadrilateral?
Here are the key properties of a quadrilateral:
- Four Sides: By definition, all quadrilaterals have four straight sides.
- Four Vertices: The points where the sides meet are called vertices, and quadrilaterals have four of these.
- Four Angles: There are four interior angles in a quadrilateral.
- Sum of Interior Angles: The sum of the interior angles in any quadrilateral is 360 degrees.
- Two Diagonals: Quadrilaterals have two diagonals, which are segments connecting opposite vertices.
Explain the Golden Quadrilateral.
Golden quadrilateral is the famous term given to the national highway that connects the major states and the industrial, agriculateral, and cultural centres of India. On the map, the shape of the highway is the shape of a quadrilateral.
Which Quadrilateral is not a Parallelogram?
A trapezium is a quadrilateral that is not a parallelogram.
Quadrilateral – Definition, Properties, Types, Formulas, Examples
Quadrilateral: A quadrilateral is a two-dimensional figure characterized by having four sides, four vertices, and four angles. It can be broadly classified into two categories: concave and convex. Within the convex category, there are several specific types of quadrilaterals, including trapezoids, parallelograms, rectangles, rhombi, and squares.
The sum of the interior angles of a Quadrilateral is 360°. Let’s learn what is a quadrilateral, its shapes, types, properties, formulas, and examples in detail.
Table of Content
- What is a Quadrilateral?
- Quadrilateral Definition
- Properties of Quadrilateral
- Types of Quadrilateral
- Concave Quadrilateral
- Convex Quadrilateral
- Equilateral Quadrilateral vs Irregular Quadrilaterals
- Quadrilateral Shape
- Trapezium
- Kite
- Parallelogram
- Rectangle
- Rhombus
- Square
- Quadrilateral Theorems
- Quadrilateral Lines of Symmetry
- Quadrilateral Sides and Angles
- Quadrilateral Formulas
- Area of Quadrilateral
- Perimeter of Quadrilateral
- Difference between Different Quadrilaterals
- Solved Questions on Quadrilateral