Question

Find the coordinates of the image of each of the following points under the reflection in the line $y=0.$

$(3,-6)$

Answer 1

Finding the image of the given point reflected in the line $Y=0$:

The line $y=0$ is nothing but $X-axis$,

We know that the Image of a point$P(x,y)$ under the reflection in $x-axis$ is $P\text{'}(x,-y)$

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

Therefore, the image of point $(3,-6)$ reflected in the line $Y=0$ is $(3,6)$.