Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

what is the result of a 270° rotation counterclockwise of a point (x, y…

Question

what is the result of a 270° rotation counterclockwise of a point (x, y)? (x, y) → (-x, -y) (x, y) → (-y, x) (x, y) → (x, y) (x, y) → (y, -x)

Explanation:

Step1: Recall rotation rule

A 270 - degree counter - clockwise rotation is equivalent to a 90 - degree clockwise rotation. For a 90 - degree clockwise rotation of a point $(x,y)$ about the origin, the transformation rule is $(x,y)\to(y, - x)$.

Answer:

$(x,y)\to(y, - x)$