Given point A(2, 6) on the triangle, where would the new point on the triangle be after a rotation of 90 degrees counterclockwise?

Question

Given point  A(2, 6)  on the triangle, where would the new point on the triangle be after a rotation of 90 degrees counterclockwise?

Bot GPT 3.5 · Accepted Answer

To find the new point on the triangle after a rotation of 90 degrees counterclockwise, we can use the rotation formula. The rotation formula for a point (x, y) about the origin by 90 degrees counterclockwise is: (x', y') = (-y, x) In this case, the original point is A(2, 6). Using the rotation formula, A' = (-6, 2) Therefore, the new point on the triangle after a rotation of 90 degrees counterclockwise is (-6, 2).