Question

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

Answer 1

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

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

For the point \( (-4, -6) \):

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

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

So the correct response is \( (4, 6) \).