# How to find out the location of the coordinates of a rectangle given its all the coordinates?

I have the four coordinates of a rectangle in the format: (xi, yi). I want to find out which of the coordinates correspond to the top-left, top-right, bottom-left and bottom-right of the rectangle. Can someone help me in doing this? Any help is much appreciated. Thank you.

Edit: The rectangle can be a rotated rectangle. Is there any algorithm for this?

• – NoChance Aug 4 '19 at 16:00

## 1 Answer

The $$x$$ coordinate tells you how far to the right of $$(0,0)$$ a point is - so the point with the lowest $$x$$ coordinate is the left most point.

Similarly, the $$y$$ coordinate tells you how far above $$(0,0)$$ the point is - the point with the lowest $$y$$-coordinate is the lowest point in terms of height. For example, the point $$(-1,2)$$ is to the left of and below the point $$(1, 3)$$.

Combining these two facts, which corner will be the bottom-left? Likewise for the other corners

• Thanks for the help. Forgot to mention, The rectangle can be rotated also. In this case how can get the locations? – planet_pluto Aug 4 '19 at 15:33