Question

Giving a point on a geometric figure x, y what is the new point when the figures rotated clockwise about the origin 270°

Answer 1

To find the new coordinates when a point is rotated clockwise about the origin by 270°, we can use the following formulas:

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

In this case, θ = -270°, as we want to rotate the point clockwise.

x' = x * cos(-270°) - y * sin(-270°)
= x * cos(270°) - y * sin(270°)
= x * 0 - y * 1
= -y

y' = x * sin(-270°) + y * cos(-270°)
= x * sin(270°) + y * cos(270°)
= x * 1 + y * 0
= x

Therefore, the new point after rotating the figure clockwise about the origin by 270° is (-y, x).