What are the coordinate points of A' (9,8) if A undergoes A rotation of: 90° counterclockwise and 270° counterclockwise
To find the coordinate points of A' after a rotation, we need to apply the rotation transformation to the original coordinates (9, 8).
1) 90° counterclockwise rotation:
The 90° counterclockwise rotation of a point (x, y) is given by the formula:
(x', y') = (-y, x)
Applying this formula to point A (9, 8):
(x', y') = (-8, 9)
So the coordinate points of A' after a 90° counterclockwise rotation are (-8, 9).
2) 270° counterclockwise rotation:
The 270° counterclockwise rotation of a point (x, y) is given by the formula:
(x', y') = (y, -x)
Applying this formula to point A (9, 8):
(x', y') = (8, -9)
So the coordinate points of A' after a 270° counterclockwise rotation are (8, -9).