The given points are A(1,1), B(1,4), and C(3,4).
The image below shows the figure.
As you can observe, the figure is a right rectangle.
(a)
If we reflect the figure across the x-axis, we just have to multiply each y-coordinate with -1 to obtain the new points.
[tex]\begin{gathered} A^{\prime}(1,-1) \\ B^{\prime}(1,-4) \\ C^{\prime}(3,-4) \end{gathered}[/tex]
The image below shows this transformation.
(b)
To reflect the figure across the y-axis, we just have to multiply each x-coordinate by -1.
[tex]\begin{gathered} A^{\prime}(-1,1) \\ B^{\prime}(-1,4) \\ C^{\prime}(-3,4) \end{gathered}[/tex]
The image below shows this transformation.
