Question

what is the image of the point $(-7, 5)$ after a rotation of $180^circ$ counterclockwise about the origin?
answer attempt 1 out of 3
(\boxed{\quad}, \boxed{\quad}) submit answer

Explanation:

Step1: Recall 180° rotation rule

For a point \((x, y)\) rotated \(180^\circ\) counterclockwise (or clockwise) about the origin, the rule is \((x, y)\to(-x, -y)\).

Step2: Apply the rule to \((-7, 5)\)

Here, \(x = -7\) and \(y = 5\). So, \(-x=-(-7) = 7\) and \(-y=-5\).

Answer:

\((7, -5)\)