Given point A(2, 6)

Question

on the triangle, what are the new coordinates of the point after the triangle is rotated 180 degrees counterclockwise

Answer 1

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 \((-2, -6)\).