Question

rotate the point (6, 4) 180° counterclockwise about the origin. what are the new coordinates?
options:
○ (-4, -6)
○ (6, -4)
○ (4, 6)
○ (-6, -4)

Explanation:

Step1: Recall 180° rotation rule

For a point \((x, y)\) rotated \(180^\circ\) about the origin, the new coordinates \((x', y')\) are given by \(x' = -x\) and \(y' = -y\).

Step2: Apply the rule to the point (6, 4)

Here, \(x = 6\) and \(y = 4\). So, \(x' = -6\) and \(y' = -4\).

Answer:

\((-6, -4)\) (corresponding to the option: O (-6, -4))