Plotting Coordinates


When looking into a mirror, you will realize that the distance from your image to the mirror is the same as the distance if you decided to walk towards the mirror. If you take one step towards the mirror, your image will also take one step (in the opposite direction) towards the mirror.

We can therefore say that the mirror is serving as the line (or axis) of symmetry between you and your image.






reflection, picture1.




In Mathematics, this idea is best explored on the cartesian plane, where we have the x-axis, the y-axis, and the Origin, O, the point where these two perpendicular lines intersect.

When we plot a point on the cartesian plane, we can either use the x-axis or the y-axis as our line of symmetry to find the image of the point we have plotted on the other side of the line.

We normally refer to the image we see when we look inside of a mirror as our reflection.






--Remember, that when plotting a coordinate on the cartesian plane, the first component is the step you take to the right or left of the x-axis and the second component is the step you take along the y-axis.

Below is an image that shows how to plot the point (2, 3) on the cartesian plane.



A graph of point (2, 3)