Write the coordinates of the image of point K(2, 5) after a -90 degrees rotation about the origin
Question
Write the coordinates of the image of point K(2, 5) after a -90 degrees rotation about the origin
Solution
To find the image of a point after a -90 degrees rotation about the origin, we use the rotation matrix for -90 degrees. The rotation matrix for -90 degrees is:
[0 1] [-1 0]
We multiply this matrix by the coordinates of the point K(2, 5):
[0 1] * [2] = [5] [-1 0] * [5] = [-2]
So, the image of point K(2, 5) after a -90 degrees rotation about the origin is (5, -2).
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