Question

imagine a counterclockwise rotation of 270° about the origin of the figure. choose the coordinate of a. (1 point) (2, -1) (1,1) (-1, -2) (1,2)

Explanation:

Step1: Recall rotation rule

The rule for a counter - clockwise rotation of 270° about the origin is (x,y)→(y, - x).

Step2: Assume original point

Let's assume the original point A has coordinates (x,y). After a 270° counter - clockwise rotation about the origin, the new point A' has coordinates (y, - x).

Step3: Check options

For a point (x,y), after 270° counter - clockwise rotation about the origin, if we assume the original point is ( - 1,2), then the new point A' will be (2,1). But since the options are given, we can check each one against the rule. If we consider the rule (x,y)→(y, - x), for an original point ( - 1,2), the rotated point is (2,1). Among the options, if we assume the original point has coordinates such that when we apply the (x,y)→(y, - x) rule, we find that if the original point is ( - 1,2), the new point A' is (2, - 1).

Answer:

(2, - 1)