Question

point a (-3, -3) is rotated counterclockwise about the origin so that a=(3, -3). find the angle of rotation. the angle of rotation is

degrees

Explanation:

Step1: Recall rotation rules

In a 2 - D coordinate system, rotating a point $(x,y)$ counter - clockwise about the origin by $90^{\circ}$ gives $(-y,x)$, by $180^{\circ}$ gives $(-x,-y)$, and by $270^{\circ}$ gives $(y, - x)$.

Step2: Analyze the given points

The original point $A(-3,-3)$ is rotated to $A'(3,-3)$. The $y$ - coordinate remains the same and the sign of the $x$ - coordinate changes. This is equivalent to a $180^{\circ}$ counter - clockwise rotation about the origin.

Answer:

$180$