The vertical distance of a point from origin in two dimensional space is called the ordinate. It is also called as the $y$-coordinate.

The ordinate is a geometric coordinate of a point, which is helpful to know how far the point is from origin in vertical direction in Bi-dimensional rectangular Cartesian coordinate system.

It is measured from origin in vertical direction by comparing the number line on the $y$-axis. Hence, the ordinate is also called as the $y$-coordinate of the point.

The $x$-axis is considered as base line while measuring the ordinate or $y$-coordinate of a point because the $x$-axis is passed through the origin in two dimensional Cartesian coordinate system.

Here, $Q$ is a point on the plane and the vertical distance of the point is measured as $d$ units from origin by taking $x$-axis as base line and also comparing it with the number line on $y$-axis.

Therefore, the vertical distance $d$ is called the ordinate or $y$-coordinate of the point $Q$.

There are two basic steps to find the ordinate of any point in geometry.

- From any point, draw a perpendicular line to $y$-axis.
- The distance from origin to the intersecting point of the perpendicular line on $y$-axis is the ordinate or $y$-coordinate.

Let’s learn how to measure the ordinate or $y$-coordinate of any point from the following understandable example.

Let $P$, $Q$, $R$ and $S$ be four points in a two dimensional rectangular Cartesian coordinate system. Now, use the above two steps to determine the $y$-coordinate of every point.

- The ordinate of point $P$ is $3$.
- The $y$-coordinate of point $Q$ is $-4$
- The ordinate of point $R$ is $1$.
- The $y$-coordinate of point $S$ is $-2$

Do not forget that the number line on the $y$-axis is considered while measuring the $y$-coordinate. So, it is not required to look at the number line on the $x$-axis.

Thus, the ordinate or $y$-coordinate of every point can be determined geometrically.

Latest Math Topics

Jul 24, 2022

Jul 15, 2022

Latest Math Problems

Sep 30, 2022

Jul 29, 2022

Jul 17, 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 - 2022 Math Doubts, All Rights Reserved