The left-bottom side region in the two dimensional space is called the third quadrant.

Two number lines are perpendicularly bisected at their middle point in bi-dimensional Cartesian coordinate system for splitting the coordinate plane into four equal regions.

The left-bottom side region is called the third quadrant. In this case, the region in the angle $X’OY’$ is the third quadrant and represented by a Roman numeral $III$.

In $\angle X’OY’$, the $x$-axis and $y$-axis both represent negative values. Therefore, the abscissa and ordinate of every point in this region should be negative.

If $x$-coordinate and $y$-coordinate of each point are denoted by $x$ and $y$ respectively, then the values of both coordinates are written in mathematical form as $x < 0$ and $y < 0$.

The third quadrant is used in the bi dimensional space to identity the location of a point whose abscissa and ordinate are negative. So, let’s study how to use the third quadrant in coordinate geometry.

Identify the location of the point $C(-6, -4)$.

Here, the $x$ coordinate (or abscissa) is $-6$ and $y$ coordinate (or ordinate) is $-4$.

- Identity $-6$ on negative $x$-axis. Draw a line from $-6$ but it should be parallel to negative $y$ axis and perpendicular to negative $x$ axis.
- Identify $-4$ on negative $y$ axis. Draw a line from $-4$ but it should be perpendicular to negative $y$ axis and parallel to negative $x$ axis.
- The two straight lines are perpendicularly intersected at a point in the plane and it is the point $C(-6, -4)$.

In this way, the third quadrant of two dimensional Cartesian coordinate system is used for identifying the location of any point whose both abscissa and ordinate are negative.

Latest Math Topics

Apr 18, 2022

Apr 14, 2022

Apr 05, 2022

Mar 18, 2022

Mar 05, 2022

Latest Math Problems

Apr 06, 2022

Mar 22, 2022

A best free mathematics education website for students, teachers and researchers.

Learn each topic of the mathematics easily with understandable proofs and visual animation graphics.

Learn how to solve the maths problems in different methods with understandable steps.

Copyright © 2012 - 2021 Math Doubts, All Rights Reserved