Given point A(2, 6) on the triangle, where would the new point on the triangle be after a rotation of 90 degrees clockwise? (1 point) ([ ],[ ])

Answer 1

To rotate a point \( (x, y) \) 90 degrees clockwise around the origin, the new coordinates can be calculated using the formula:

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

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

1. Here, \( x = 2 \) and \( y = 6 \).
2. Applying the rotation formula:

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

Thus, the new coordinates after the 90 degrees clockwise rotation are:

\[ (6, -2) \]

So the new point on the triangle is:

\[ [6, -2] \]