Question

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

(iii) $(4,-6)$

Answer 1

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

The image of a point $P(x,y)$ under the reflection in $X-axis$ 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 reflection of the point $(4,-6)$ in the $X-axis$ is the point $(4,-(-6\left)\right)=(4,6)$