Question

what is the coordinate for the image of point h(2, -6) under a 90° clockwise rotation about the origin?
h(-6, 2)
h(6, 2)
h(6, -2)
h(-6, -2)

Explanation:

Step1: Recall the rotation rule

When a point \((x,y)\) is rotated \(90^{\circ}\) clockwise about the origin, the new coordinates \((x',y')\) follow the rule \((x,y)\to(y,-x)\).

Step2: Apply the rule to point \(H(2, - 6)\)

Here \(x = 2\) and \(y=-6\). Substitute into the rule: \(x'=-6\) and \(y'=-2\).

Answer:

\(H'(-6,-2)\)