Answer:
\((-1,2)\)
Step-by-step explanation:
We have been coordinates of a point \((1,-2)\). 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 \((x,y)\rightarrow (-x,-y)\).
After rotating the point \((1,-2)\) 180° about the origin its coordinates would be:
\((1,-2)\rightarrow (-1,--2)\)
\((1,-2)\rightarrow (-1,2)\)
Therefore, the coordinates of the given point after a rotation of 180° about the origin would be \((-1,2)\).
