Given a point on a geometric figure (x, y), what is the new point when the point is rotated clockwise about the origin 270 degrees.
To rotate a point (x, y) clockwise about the origin by 270 degrees, we use the following formulas:
New x-coordinate = x * cos(270°) - y * sin(270°)
New y-coordinate = x * sin(270°) + y * cos(270°)
Since cos(270°) = 0 and sin(270°) = -1, the formulas simplify to:
New x-coordinate = x * 0 - y * (-1) = y
New y-coordinate = x * (-1) + y * 0 = -x
Therefore, the new point after rotating (x, y) clockwise by 270 degrees is (-y, -x).