Question

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

Answer 1

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

\[
(x', y') = (-x, -y)
\]

For the point \((-4, -6)\), we can apply this formula:

\[
x' = -(-4) = 4
\]
\[
y' = -(-6) = 6
\]

Thus, the new point after a 180-degree counterclockwise rotation is:

\[
(4, 6)
\]