Question

What is the algebraic rule for a figure that is rotated 270° clockwise about the origin?

A. Ro.-270-(x, y) - (-y, x)

B. Ro.-270-(x, y) - (x, y)

C. Ro,270-(x, y) - (x,-y)

D. Ro,270-(x, y) - (-y. -x)

Answer 1

Answer: To rotate a point (x, y) 270° clockwise about the origin, we need to swap the x and y coordinates, and negate the new x-coordinate. This can be expressed algebraically as:

(x, y) → (-y, x)

Therefore, the correct algebraic rule for a figure that is rotated 270° clockwise about the origin is option A:

Ro.-270-(x, y) - (-y, x)