Quadrilaterals are an essential part of your arithmetic syllabus in schools, colleges, and even universities. However, most students often ask themselves, “What is a quadrilateral?” when solving related problems. Unfortunately, this often leads them to submit incorrect arithmetic answers, which fetches them a poor grade.
Therefore, understanding arithmetic concepts thoroughly is necessary to solve your geometrical problems as a math student effortlessly.
This is why in this blog, a complete guide on quadrilaterals is given for your convenience. Read on to know more.
What is a Quadrilateral?
A quadrilateral is an important geometrical concept that students need to learn while understanding geometry. It is a closed shape that gets formed when any four points are joined. However, it is important to keep in mind here that only three points are non-colinear.
The word quadrilateral in Latin means to have four sides. Thus, Quadra stands for four, and lateral means to have sides.
Thus, a quadrilateral is a type of polygon having four sides. It is used in planar geometry when calculating the angles and sides of polygons or surfaces. Different types of quadrilaterals exist, which are discussed further down below.
Let’s now have a look at some of the common properties of polygons.
Properties of Quadrilaterals
Like any geometrical shape, even quadrilaterals have properties. They are:
- Having four sides or edges.
- Having four vertices or corners.
- Interior angles that all add up to 360 degrees.
However, it is important to note here that though these are the basic properties of quadrilaterals, different types of them also have additional properties. So, let’s have a look at the types of quadrilaterals that exist out there.
Types of Quadrilaterals
Some of the common types of quadrilaterals that exist out there are:
A square has four equal sides, and each of them has an angle that measures 90 degrees. The opposite sides of a square are also parallel to one another. It also has two diagonals that are equal to one another. The diagonals are perpendicular to one another and also bisect each other at right angles.
A rectangle is a quadrilateral with two pairs of equal sides that are also parallel. They also have all angles measuring 90 degrees. It also has two equal diagonals that bisect each other at right angles.
A trapezium has a pair of opposites that are parallel to one another. In addition, they might have different angles, all of which add up to 360 degrees.
A rhombus has four sides where the lengths of all sides are equal. However, opposite sides are parallel, and opposite angles are equal to each other. The diagonals of a rhombus also meet at 90 degrees or right angles.
A kite has two pairs of each side, which are made up of two sides of equal length. The angle where the line drawn by the two pairs meets is always right angles. One diagonal of a kite cuts the other one in half.
A parallelogram is a type of quadrilateral where both pairs of opposite sides are parallel to each other. They have opposite sides, which are of the same length, and opposite angles are also equal to each other.
Apart from these types of quadrilaterals, there is also one type known as complex quadrilaterals. These quadrilaterals have two sides that cross or intersect each other. However, they still have four sides, with two lines crossing each other.
Common Problems Related to Quadrilaterals
When you are working with quadrilaterals for geometry, you will need to find out the area and perimeter of most shapes. You will also face problems where you will need to calculate the angles of quadrilaterals. This is why it is important that you read and understand the different formulas that govern quadrilaterals’ working.
In higher levels of education, you will need to solve complex problems related to quadrilaterals, where you will need to find the length of sides and areas of figures.
Below are some quadrilateral examples that can help you understand what kind of problems you will face in this concept.
Quadrilateral example questions
- The values of different angles are given, except one. You will need to calculate the value of the final angle.
- Another example of the quadrilateral problem is where the lengths of the sides of the figure are given. You will need to calculate the area and perimeter with it.
- Values of the lengths of diagonals are given. You will need to calculate the total area.
Quadrilaterals form an important part of the syllabus for your geometry in colleges and universities. This is why you should be looking at memorizing the different formulas that exist to solve any type of quadrilateral problem easily. This blog can be your ultimate guide to refer to if you ever face any kind of problem understanding quadrilaterals.
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