given point A (2,6) on the triangle what are the new coordinates of the point after the triangle is rotated 180 degrees counterclockwise.

To rotate a point 180 degrees counterclockwise around the coordinate plane, we switch the signs of both the x-coordinate and the y-coordinate.

Given point A (2,6), we switch the signs to get (-2,-6).

Therefore, the new coordinates of point A after the triangle is rotated 180 degrees counterclockwise are (-2,-6).