Question

Given a point (1, 2)
(
1
,

2
)
on a geometric figure, what is the new point when the figure is rotated clockwise about the origin 180 degrees?

Answer 1

Rotating a point \((x, y)\) 180 degrees clockwise about the origin results in moving the point to \((-x, -y)\).

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

1. The new x-coordinate is \(-1\) (which is \(-1\) times the original x-coordinate).
2. The new y-coordinate is \(-2\) (which is \(-1\) times the original y-coordinate).

So, after rotating the point \((1, 2)\) 180 degrees clockwise about the origin, the new point will be:

\[
(-1, -2)
\]