Question

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

$(0,0)$

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.

The image of the point $(0,0)$ after reflection in origin is $(-0,-0)=(0,0)$.

Hence, the coordinates of the image of the point $(0,0)$ will be $(0,0).$