To find the image of point Y (-2, 6) after a 180 degree counterclockwise rotation about the origin, we can use the following rule for rotation:
When a point (x, y) is rotated 180 degrees around the origin, the new coordinates (x', y') can be found using the formulas:
- x' = -x
- y' = -y
For point Y (-2, 6):
- x' = -(-2) = 2
- y' = -(6) = -6
Thus, the coordinates of Y' after the rotation are (2, -6).
So the correct answer is:
a. Y' (2, -6)
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