If a with coordinates (4, -3) is rotated 90° clockwise, then rotated 180°, what are the coordinates of P"?
Question
If a with coordinates (4, -3) is rotated 90° clockwise, then rotated 180°, what are the coordinates of P"?
Solution
First, let's understand what happens to a point when it is rotated around the origin:
- 90° clockwise rotation: The point (x, y) becomes (y, -x)
- 180° rotation: The point (x, y) becomes (-x, -y)
Now, let's apply these transformations to the point P(4, -3):
- After a 90° clockwise rotation, P becomes P'( -3, -4).
- Then, after a 180° rotation, P' becomes P" (3, 4).
So, the coordinates of P" after these rotations are (3, 4).
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