Question

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

Answer 1

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