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 negative 4 comma 6 right parenthesis

(6, 4)
left parenthesis 6 comma 4 right parenthesis

(4, 6)
left parenthesis 4 comma 6 right parenthesis

Answer 1

To rotate the point (-4, -6) by 180 degrees counterclockwise, you can use the rule for rotation. A 180-degree rotation changes the coordinates (x, y) to (-x, -y).

So, applying this to the point (-4, -6):

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

Thus, the new point after the rotation is \( (4, 6) \).

The correct response is:
\( (4, 6) \)