Question
given point A(2,6) on a triangle, what are the new coordinates of the point after the triangle is rotated 180 degrees counterclockwise?
Answers
GPT-4o mini
To rotate a point 180 degrees counterclockwise around the origin, you can use the following transformation:
If the original coordinates of the point are (x, y), the new coordinates after a 180-degree rotation are given by:
\[
(x', y') = (-x, -y)
\]
For point A(2, 6):
\[
x' = -2
\]
\[
y' = -6
\]
Thus, after a 180-degree counterclockwise rotation, the new coordinates of point A will be:
\[
A'(-2, -6)
\]
If the original coordinates of the point are (x, y), the new coordinates after a 180-degree rotation are given by:
\[
(x', y') = (-x, -y)
\]
For point A(2, 6):
\[
x' = -2
\]
\[
y' = -6
\]
Thus, after a 180-degree counterclockwise rotation, the new coordinates of point A will be:
\[
A'(-2, -6)
\]