Rotate the point (5,8) on a geometric figure 270 degrees clockwise. What is the new point
To rotate a point (x,y) 270 degrees clockwise, we can apply the following formula:
New x-coordinate = y
New y-coordinate = -x
Applying this formula to the given point (5,8):
New x-coordinate = 8
New y-coordinate = -(5)
Therefore, the new point after rotating (5,8) 270 degrees clockwise is (8,-5).
To rotate a point 270 degrees clockwise on a geometric figure, we need to use the following rotation matrix:
[ cos(270°) -sin(270°) ]
[ sin(270°) cos(270°) ]
Let's calculate the new point (x', y'):
x' = (5 * cos(270°)) - (8 * sin(270°))
y' = (5 * sin(270°)) + (8 * cos(270°))
Using trigonometric identities:
x' = (5 * 0) - (8 * (-1))
y' = (5 * (-1)) + (8 * 0)
Simplifying, we get:
x' = 0 + 8 = 8
y' = -5 + 0 = -5
Therefore, the new point after rotating (5, 8) 270 degrees clockwise is (8, -5).