Question

point a has coordinate a(3, 2). the point is rotated 180° clockwise around the origin. find the coordinates of point a. a(2, 3) a(-3, -2) a(-2, -3) a(-2, 3)

Explanation:

Step1: Recall 180° rotation rule

For a point $(x,y)$ rotated $180^\circ$ (clockwise or counterclockwise) around the origin, the new coordinates are $(-x,-y)$.

Step2: Apply rule to A(3,2)

Substitute $x=3$, $y=2$ into the rule: $(-3, -2)$

Answer:

A'(-3, -2)