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

Question

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

GPT-4o mini · Answer

To rotate a point $ (x, y) $ 180 degrees counterclockwise around the origin, you can use the following transformation: $$ (x', y') = (-x, -y) $$ For point $ A(2, 6) $: - $ x = 2 $ - $ y = 6 $ Applying the transformation: $$ x' = -2 $$ $$ y' = -6 $$ Therefore, the new coordinates of point A after a 180-degree counterclockwise rotation are $ A'(-2, -6) $.