Question

Rotate the point (-4, - 6) on a geometric figure 180 degrees counterclockwise. What is the new point? (1 point)
0 (-4, 6)
O (6, 4)
0 (-6, - 1)
• (4, 6)

Answer 1

To rotate a point \(180\) degrees counterclockwise around the origin, you can use the rule that states:

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

Starting with the point \((-4, -6)\):

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

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

The correct answer from the options given is:

\((4, 6)\)