Rotate the point (−4, −6)

Question

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:

\[ (4, 6) \]