Question

point a(3,2) is rotation 90 degrees counterclockwise about the origin. what are the coordinates of the image a? (-2,3) (2,-3) (3,-2) (-3,-2) clear my selection

Explanation:

Step1: Recall the rotation rule

When a point \((x,y)\) is rotated \(90^{\circ}\) counter - clockwise about the origin, the new coordinates \((x',y')\) follow the rule \((x,y)\to(-y,x)\).

Step2: Apply the rule to point \(A(3,2)\)

Here \(x = 3\) and \(y=2\). Substitute into the formula: \(x'=-y=- 2\) and \(y'=x = 3\).

Answer:

A. \((-2,3)\)