Question

Find the coordinates of the image of each of the following points under the reflection in the origin.

$(0,-1)$

Answer 1

Finding the coordinates of the image under the reflection in the origin:

The reflection of point $P\left(x,y\right)$ in the origin is given by $P\text{'}\left(-x,-y\right)$, where the sign of both ordinate $\left(y\right)$ and the abscissa $\left(x\right)$ changes.

After reflection $X$ coordinate $0$ remains $0$.

And $Y$ coordinate$-1$ after reflection will become$1$.

Hence, the coordinates of the image of the point $(0,-1)$ is $(0,1).$