Question

a point (6, -2) is rotated 180° about the origin. what is the y - coordinate of the transformed point?

Explanation:

Step1: Recall the rotation rule

When a point \((x,y)\) is rotated \(180^{\circ}\) about the origin, the transformation rule is \((x,y)\to(-x,-y)\).

Step2: Apply the rule to the given point

For the point \((6, - 2)\), after rotation, \(x = 6\) becomes \(-x=-6\) and \(y=-2\) becomes \(-y = 2\).

Answer:

\(2\)