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

Answer 1

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:

\[ (-2, -6) \]