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

Answer 1

To rotate a point counterclockwise around the origin (0, 0) by 90 degrees, we need to use the following formulas:

x' = -y
y' = x

Let's apply these formulas to the coordinates of point A(2, 6):

x' = -6 = -6
y' = 2 = 2

Therefore, the new point after a rotation of 90 degrees counterclockwise is (-6, 2).