Given point 4(2, 6) on the triangle, what are the new coordinates of the point after the triangle is rotated 180 degrees counterclockwise?

Answer 1

To rotate a point 180 degrees counterclockwise around the origin, you can simply negate both the x and y coordinates of the point.

Given the point \( A(2, 6) \):

1. Negate both the x and y coordinates:
   • \( x' = -x = -2 \)
   • \( y' = -y = -6 \)

Thus, the new coordinates of the point after the rotation are \( A'(-2, -6) \).

So, after a 180 degrees counterclockwise rotation, the new coordinates of the point are \( (-2, -6) \).