Question

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

$(7,8)$

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.

Therefore in the point $(7,8)$,

$X$ coordinate becomes$-7$ and

$Y$ coordinate becomes$-8$

Hence, the image of given point is$(-7,-8)$.