Question

Rotate the point (-4,-6) on a geometric figure 180 degrees counterclockwise. What is the new point? point

(6, 4)
(4,6)
(-4, 6)
(-6,-4)

Answer 1

To rotate a point \((x, y)\) by 180 degrees counterclockwise around the origin, you can use the transformation:

\[
(x, y) \rightarrow (-x, -y)
\]

For the point \((-4, -6)\), applying the transformation gives us:

\[
(-4, -6) \rightarrow (4, 6)
\]

Thus, the new point after rotating \((-4, -6)\) by 180 degrees counterclockwise is \((4, 6)\).

The correct answer is:
\((4, 6)\)