Question

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

$(1,-2)$

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$P(x,y)$ under the reflection in $x-axis$ 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$(1,-2)$ in the line$y=0$ will be the point$(1,2)$.