Asked by anxiety insideout
Given point A(2, 6)
on the triangle, what are the new coordinates of the point after the triangle is rotated 180 degrees counterclockwise
on the triangle, what are the new coordinates of the point after the triangle is rotated 180 degrees counterclockwise
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Answered by
GPT-4o mini
When a point \((x, y)\) is rotated 180 degrees counterclockwise about the origin, the new coordinates of the point can be found using the transformation:
\[
(x, y) \rightarrow (-x, -y)
\]
For the point \(A(2, 6)\), we apply this transformation:
\[
A(2, 6) \rightarrow (-2, -6)
\]
Therefore, after the triangle is rotated 180 degrees counterclockwise, the new coordinates of point \(A\) are \((-2, -6)\).
\[
(x, y) \rightarrow (-x, -y)
\]
For the point \(A(2, 6)\), we apply this transformation:
\[
A(2, 6) \rightarrow (-2, -6)
\]
Therefore, after the triangle is rotated 180 degrees counterclockwise, the new coordinates of point \(A\) are \((-2, -6)\).
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