Given point A(2, 6)

Question

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 \((x, y)\) counterclockwise by 90 degrees around the origin, you can use the transformation formula:

\[ (x', y') = (-y, x) \]

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

• \(x = 2\)
• \(y = 6\)

Applying the transformation:

\[ x' = -y = -6 \] \[ y' = x = 2 \]

So, after a 90-degree counterclockwise rotation, the new point \(A'\) will be:

\[ A'(-6, 2) \]