Question

What are the coordinates of the image of point H after a counterclockwise rotation of 180° about the origin?

Answer 1

A

Explanation:

Keep it simple, but correct :)

Answer 2

To determine the counter clockwise rotation of 180 degree about the origin

When rotating a point 180 degrees counterclockwise about the origin our point H(x,y) becomes H'(-x,-y).

`\text{Initial coordinate of H = (-4 , 2)}`

From the rotation formula about the origin counterclockwise 180 degree is

`\begin{gathered} \text{ Final coordinate of H}^{^(\prime)}\text{ = (-(-4) , -2)} \\ H^(\prime)\text{ = (4 , -2)} \end{gathered}`

Therefore the correct answer is Option A