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?(1 point)

1 answer

To rotate a point (x, y) 270 degrees clockwise about the origin, we use the following formulas:

x' = x * cos(270) - y * sin(270)
y' = x * sin(270) + y * cos(270)

Substitute the values of cos(270) and sin(270):

x' = x * 0 - y * (-1) = y
y' = x * 1 + y * 0 = x

Therefore, the new point is (y, x).