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

Answer 1

To rotate a point counterclockwise 90 degrees, we first switch the x and y coordinates of the point and then negate the new x coordinate.

For point A(2, 6), when we switch the x and y coordinates, we get point A'(6, 2).

To negate the new x coordinate, we get point A''(-6, 2).

Therefore, the new point after a rotation of 90 degrees counterclockwise from point A(2, 6) would be A''(-6, 2).