Question

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

$(\frac{1}{2},\frac{3}{2})$.

Answer 1

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

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

So, for the given point $(\frac{1}{2},\frac{3}{2})$

$X$ coordinate after reflection will become$-\frac{1}{2}$,

And$Y$ coordinate after reflection will become$-\frac{3}{2}$.

Hence, the coordinates of the image of the point are $(-\frac{1}{2},-\frac{3}{2})$.