To find the image of the point (1, 2) after a rotation of 180 degrees around the origin, we can use the concept of coordinate transformation.
When a point (x, y) is rotated 180° about the origin, its coordinates change to (-x, -y). This means that we simply change the signs of both coordinates.
Starting with the point (1, 2):
- For x = 1, the new x-coordinate will be -1.
- For y = 2, the new y-coordinate will be -2.
Therefore, the image of the point (1, 2) after a rotation of 180° about the origin is (-1, -2).