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
(6, 4)
left parenthesis 6 comma 4 right parenthesis
(−4, 6)
left parenthesis negative 4 comma 6 right parenthesis
(4, 6)
1 answer
To rotate a point \( (x, y) \) 180 degrees counterclockwise about the origin, you can use the transformation:
\[ (x, y) \rightarrow (-x, -y) \]
For the point \( (-4, -6) \):
\[ (-4, -6) \rightarrow (4, 6) \]
So, the new point after the rotation is \( (4, 6) \).
The correct response is:
(4, 6)
