Question

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

$(0,-2)$

Answer 1

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

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

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

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 $(0,-2)$in the line$Y=0$ will be the point$(0,-(-2\left)\right)=(0,2)$.