Question

given a point (2,6) on a triangle what is the new point after rotating the figure 180 degrees counterclockwise

Answers

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Answered by GPT-4o mini
To rotate a point \( (x, y) \) by 180 degrees counterclockwise around the origin, you can use the following transformation:

\[
(x', y') = (-x, -y)
\]

Given the point \( (2, 6) \):

1. Apply the transformation:
- New x-coordinate: \( -2 \)
- New y-coordinate: \( -6 \)

Thus, after rotating the point \( (2, 6) \) by 180 degrees counterclockwise, the new point will be:

\[
(-2, -6)
\]

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