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Geometry - position and direction

Tutor: Labib

# Coordinates in the first quadrant

## ​​In a nutshell

Coordinates show the location of a point against the $x$​ and $y$​ axis. They can be plotted on a graph which has four corners called quadrants. The first quadrant is in the upper right side of a graph. Here both the $x$​ and $y$​ values of the coordinates will be positive numbers.

## Positions on a graph

Graphs and coordinates have specific features:

 ​$x$ axis​ Horizontal line. ​ $y$ axis​ Vertical line. Origin The point $(0,0)$ where the $x$ and $y$ axis cross. Quadrants The four corners of the graph separated by the $x$ and $y$​ axis.

## Plotting points

The first number in a coordinate shows the value on the $x$ axis. The second number in a coordinate shows the value on the $y$ axis. So, to find a coordinate "follow the corridor and go up the stairs".

##### Example 1

Plot the point ​$P (2,5)$.

Note: Coordinates can be plotted on a graph with a dot or a cross.

## Identifying points in the first quadrant

You also need to find the coordinates of a point on a graph. Follow a point down to the $x$ axis for the first coordinate and across to the $y$ axis for the second coordinate. ​

##### Example 2

Use the grid below to identify the coordinates for points $A$​, $B$​ and $C$.

$\underline{A: (1,2)}$

$\underline{B :(3,2)}$

$\underline{C :(3,4)}$

​​​​

Note: Coordinates on the same horizontal line have the same $y$ value. Coordinates on the same vertical line have the same $x$ value.

## FAQs - Frequently Asked Questions

### What is an easy way to remember coordinates?

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