Question

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

$(\frac{1}{5},0)$

Answer 1

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

The reflection of a point $P(x,y)$ in origin is given by$P\text{'}\left(-x,-y\right)$.

Thus for the point $(\frac{1}{5},0)$

$X$ coordinate after reflection will become$-\frac{1}{5}$,

And the coordinate $Y$ will remain as $0$.

Hence, the coordinates of the image of the point are $(-\frac{1}{5},0)$.