Question

Rotate the point (−4, −6) on a geometric figure 180 degrees counterclockwise. What is the new point?(1 point) Responses (−6, −4) left parenthesis negative 6 comma negative 4 right parenthesis (4, 6) left parenthesis 4 comma 6 right parenthesis (−4, 6) left parenthesis negative 4 comma 6 right parenthesis (6, 4)

Answer 1

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

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

For the point \((-4, -6)\), applying this rule gives:

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

Thus, after a 180-degree counterclockwise rotation, the new point is \((4, 6)\).

The correct response is:

\((4, 6)\)