The point W(–2,6) is rotated 180° counterclockwise around the origin. What are the coordinates of the resulting point, W'?
Question
The point W(–2,6) is rotated 180° counterclockwise around the origin. What are the coordinates of the resulting point, W'?
Solution
When a point is rotated 180° around the origin, the coordinates of the point are negated. This means that if the original point is (x, y), the new point after rotation will be (-x, -y).
So, for the point W(-2,6), after a 180° counterclockwise rotation around the origin, the new coordinates will be -(-2), -6 which simplifies to (2, -6).
Therefore, the coordinates of the resulting point, W', are (2, -6).
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