Given a point on a geometric figure (x, y) , what is the new point when the figure is rotated clockwise about the origin 270 degrees
When a point is rotated clockwise about the origin, its coordinates are transformed as follows:
x' = x * cos(θ) + y * sin(θ)
y' = -x * sin(θ) + y * cos(θ)
In this case, the rotation is 270 degrees, which is equivalent to π/2 radians.
x' = x * cos(π/2) + y * sin(π/2) = -y
y' = -x * sin(π/2) + y * cos(π/2) = x
Therefore, the new point when the figure is rotated clockwise about the origin 270 degrees is (-y, x).