Answer:
- Q'(-5, 4)
- rotated wrong direction
- Samir's point is 4th-quadrant; it should be 2nd quadrant as is the above
Explanation:
A 90° CCW rotation can be accomplished by the transformation ...
(x, y) ⇒ (-y, x)
So, for Q = (4, 5), the rotated point will be ...
Q' = (-5, 4)
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Samir may have gotten his answer by using the transformation for a rotation clockwise of 90°. Or, he may have mixed up the x- and y-coordinates.
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A check of Samir's answer can be made by plotting the point he described. It will be in the 4th quadrant, which is located 90° CW from the original 1st-quadrant point.
Similarly, the above answer can be checked by plotting it. The point is in the 2nd quadrant, which is 90° CCW from the original 1st-quadrant point.