Answer:
[tex](-1,2)[/tex]
Step-by-step explanation:
We have been coordinates of a point [tex](1,-2)[/tex]. We are asked to find the coordinates of the point after a rotation of 180° about the origin.
We know that after rotating a point 180° about the origin, the coordinates of point changes their signs to opposite. The rule of rotating a point 180° about the origin is [tex](x,y)\rightarrow (-x,-y)[/tex].
After rotating the point [tex](1,-2)[/tex] 180° about the origin its coordinates would be:
[tex](1,-2)\rightarrow (-1,--2)[/tex]
[tex](1,-2)\rightarrow (-1,2)[/tex]
Therefore, the coordinates of the given point after a rotation of 180° about the origin would be [tex](-1,2)[/tex].
