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
1 answer
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: \( (4, 6) \)
