Question

Please answer the question and provide me with the coordinates and the reflection across the axis.

Answer 1

Given the coordinates of the trapezoid FGHI

$F(-5,-2),G(-2,-2),H(0,-6),I(-8,-6)$

We will reflect the trapezoid over the y-axis

The rule of reflection is:

$(x,y)\rightarrow(-x,y)$

So, the coordinates of the image F'G'H'I' will be as follows:

$\begin{gathered} F^{\prime}\colon(5,-2) \\ G^{\prime}\colon(2,-2) \\ H^{\prime}\colon(0,-6) \\ I^{\prime}\colon(8,-6) \end{gathered}$

The figure will be as shown in the following picture: