Question

3.3 rotations
geometry rotations explained (90,180, 270, 360)
what do you noticed happened to the ordered pair after a 180 degree rotation?
the positive numbers became negative numbers
the ordered pair stayed the same
the x - and y - coordinate switched
rewatch

Explanation:

Step1: Recall rotation rule

For a 180 - degree rotation about the origin, if a point has coordinates \((x,y)\), the new coordinates \((x',y')\) are given by \(x'=-x\) and \(y' = -y\).

Step2: Analyze given example

The point \(C(3,6)\) is rotated 180 degrees to \(C'(- 3,-6)\). The \(x\) - coordinate \(3\) becomes \(-3\) and the \(y\) - coordinate \(6\) becomes \(-6\).

Answer:

The positive numbers became negative numbers.