Question

The image of the point (1, -2) after a rotation of 180° about the origin is:

Answer 1

The answer is (-1,2)

Answer 2

`(-1,2)`

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)`.