Calculating 180-Degree Rotation of a Point
To solve the question, we need to rotate the point N (√3, 5) by 180 degrees counterclockwise around the origin.
When rotating a point 180 degrees either clockwise or counterclockwise around the origin (0,0), the coordinates of the point are essentially negated. This results in the point (x, y) becoming (-x, -y).
So, for the point N (√3, 5), the new coordinates after a 180-degree rotation will be (-√3, -5).
Thus, the coordinates of the resulting point, N', are (-√3, -5).