SOLUTION: The point (3,-2) is rotated 180 degrees clockwise about the origin. The image is: I tried this and think it is 2,-3, but am not sure. Thank you

Algebra ->  Coordinate-system -> SOLUTION: The point (3,-2) is rotated 180 degrees clockwise about the origin. The image is: I tried this and think it is 2,-3, but am not sure. Thank you      Log On


   



Question 970521: The point (3,-2) is rotated 180 degrees clockwise about the origin. The image is:
I tried this and think it is 2,-3, but am not sure.
Thank you

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Rule: The point (x,y) will turn into (-x,-y) after you rotate the initial point 180 degrees clockwise about the origin.

So in this case, (x,y) = (3,-2) turns into (-x,-y) = (-3,2)

The image is (-3,2)

Graph


Notice how the image, preimage, and origin all lie on the same straight line (dashed purple line).

Note: the preimage is the initial starting point (3,-2) and the image is the final ending point (-3,2) after the rotation.