Given a point on a geometric figure (1, 2)

Question

, what is the new point when the point is rotated clockwise about the origin 90 degrees

Answer 1

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

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

Given the point \((1, 2)\):

1. Apply the transformation:
   • The new x-coordinate becomes \(y = 2\)
   • The new y-coordinate becomes \(-x = -1\)

Thus, the new point after rotating \((1, 2)\) 90 degrees clockwise about the origin is \((2, -1)\).