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How Do You Rotate a Figure 180 Degrees Around the Origin?
Rotate a figure 180 degrees about the origin.
Summary
- We changed the signs of our original x-coordinates from negative to positive
- This will give us a reflection in the first quadrant
- Changing the signs of the x-coordinates and y-coordinates will reflect of the image in the first quadrant to the fourth quadrant
- Each coordinate (x,y) is changed to (-x,-y)
- This is our general formula for rotating the figure 180 degrees about the origin

Notes
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- Changing the x-coordinates will move the figure into the first quadrant
- We changed the signs of our original x-coordinates from negative to positive
-
- Changing the signs of the x-coordinates and y-coordinates will move the figure into the fourth quadrant
- We changed the signs of our original y-coordinates from positive to negative
-
- Each coordinate (x,y) is changed to (-x,-y)
- This is our general formula for rotating the figure 180 degrees about the origin