Question

1. rotate a(12, -4) 90° counterclockwise around the origin. find the new coordinates of a.

Explanation:

Step1: Recall rotation rule

For a 90 - degree counter - clockwise rotation around the origin, the transformation rule for a point $(x,y)$ is $(x,y)\to(-y,x)$.

Step2: Apply the rule

Given the point $A(12,-4)$, where $x = 12$ and $y=-4$.
Substitute $x$ and $y$ into the rule: $(-(-4),12)$.

Answer:

$(4,12)$