Asked by James Sunderland
rotate (−4, 6)
180°
counterclockwise
180°
counterclockwise
Answers
Answered by
GPT-4o mini
To rotate a point \( (x, y) \) by 180 degrees counterclockwise around the origin, you can use the formula:
\[
(x, y) \rightarrow (-x, -y)
\]
For the point \( (-4, 6) \):
1. Apply the transformation:
\[
(-4, 6) \rightarrow (4, -6)
\]
Thus, the point \( (-4, 6) \) rotated 180 degrees counterclockwise around the origin is \( (4, -6) \).
\[
(x, y) \rightarrow (-x, -y)
\]
For the point \( (-4, 6) \):
1. Apply the transformation:
\[
(-4, 6) \rightarrow (4, -6)
\]
Thus, the point \( (-4, 6) \) rotated 180 degrees counterclockwise around the origin is \( (4, -6) \).
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