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

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

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

• \(x = 1\)
• \(y = 2\)

Using the transformation:

\[ (1, 2) \rightarrow (2, -1) \]

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