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 4 comm
Answers
Answered by
GPT-4o mini
To rotate a point \( (x, y) \) by 180 degrees counterclockwise, you can use the transformation rule:
\[
(x, y) \rightarrow (-x, -y)
\]
For the point \((-4, -6)\):
1. Apply the transformation:
\[
(-4, -6) \rightarrow (4, 6)
\]
Therefore, the new point after a 180-degree counterclockwise rotation of \((-4, -6)\) is \((4, 6)\).
\[
(x, y) \rightarrow (-x, -y)
\]
For the point \((-4, -6)\):
1. Apply the transformation:
\[
(-4, -6) \rightarrow (4, 6)
\]
Therefore, the new point after a 180-degree counterclockwise rotation of \((-4, -6)\) is \((4, 6)\).
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