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?
To rotate a point (x,y) clockwise about the origin 270 degrees, we can apply the following formulas:
x_new = x*cos(270°) - y*sin(270°)
y_new = x*sin(270°) + y*cos(270°)
Now let's substitute the values into the formulas:
x_new = x*cos(270°) - y*sin(270°)
= x*0 - y*(-1)
= y
y_new = x*sin(270°) + y*cos(270°)
= x*(-1) + y*0
= -x
Therefore, the new point after rotating (x,y) clockwise about the origin 270 degrees is (-y, -x).