Question

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

Answer 1

To rotate a point \( (x, y) \) 90 degrees clockwise around the origin, you can use the transformation:

\[
(x, y) \rightarrow (y, -x)
\]

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

1. Identify \( x = 2 \) and \( y = 6 \).
2. Apply the transformation:
\[
(x, y) \rightarrow (y, -x) \Rightarrow (6, -2)
\]

So, after a rotation of 90 degrees clockwise, point \( A(2, 6) \) will be located at the new point \( (6, -2) \).