Question

Find the coordinates of the image of each of the following points under the reflection in $X-axis$.

(i) $(5,2)$

Answer 1

Finding the image of a given point reflected in the $\mathit{X}\mathbf{-}\mathit{a}\mathit{x}\mathit{i}\mathit{s}$:

The image of a point $P(x,y)$ under the reflection in the $X-axis$ is given by $P\text{'}(x,-y)$,

where only the sign of ordinate $\left(y\right)$changes and the sign of abscissa $\left(x\right)$ remains the same.

Therefore, the image of the point $(5,2)$ in the $X-axis$ will be the point $(5,-2)$.