Rotate point 9,5 270 clockwise
alright i have the answers their all right
8, -5
-6, 4
-8, 5
6 -4
-5, 9
To rotate a point (9, 5) 270 degrees clockwise, we need to use the rotation formula:
x' = x * cos(angle) - y * sin(angle)
y' = x * sin(angle) + y * cos(angle)
where (x', y') are the coordinates of the rotated point.
First, let's convert 270 degrees to radians:
angle = 270 * pi / 180 = 3 * pi / 2
Using the formula, we can calculate the rotated coordinates:
x' = 9 * cos(3 * pi / 2) - 5 * sin(3 * pi / 2) = 9 * 0 - 5 * (-1) = 0 + 5 = 5
y' = 9 * sin(3 * pi / 2) + 5 * cos(3 * pi / 2) = 9 * (-1) + 5 * 0 = -9 + 0 = -9
Therefore, the point (9, 5) rotated 270 degrees clockwise is (5, -9).
To rotate a point clockwise around the origin, you can follow these steps:
1. Swap the x and y coordinates of the point.
So, the original point (9, 5) becomes (5, 9).
2. Invert the sign of the new y-coordinate.
The new point (5, 9) becomes (5, -9).
3. Final step: Your new rotated point is (5, -9).
Therefore, when point (9, 5) is rotated 270 degrees clockwise around the origin, it becomes (5, -9).