# Writing Equivalent Polar Coordinates: Quiz

- Author:
- Tim Brzezinski

- Topic:
- Coordinates

Recall that

**the polar coordinates of a certain location (i.e. point) in the coordinate plane are NOT UNIQUE.**Unlike rectangular coordinates,**there are INFINITELY MANY POLAR COORDINATE REPRESENTATIONS of a point plotted in the coordinate plane.**In the applet below, a point is given in polar coordinates.**Your job is simply to write a different pair of polar coordinates so that these coordinates yield the same location as the given ordered pair. (If you type in a correct pair of polar coordinates, the applet will indicate this to you.)**When inputting your data, use "pi" for "pi" (the symbol browser isn't working here.) Try inputting a few ordered pairs for each problem you generate. As you do, try writing at least 2 ordered pairs with*r*< 0 and at least 2 ordered pairs with*r*> 0. Also try writing at least 2 ordered pairs with theta > 0 and at least 2 ordered pairs with theta < 0.**Generate as many practice problems as you need in order to master this concept!**