Question

The vertices of a triangle are A(1, 1), B(1, 4), and C(3, 4). Draw the figure and its reflection in (a) the x-axis and (b) the y-axis. What are the coordinates of the image?

Answer 1

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.

`\begin{gathered} A^(\prime)(1,-1) \\ B^(\prime)(1,-4) \\ C^(\prime)(3,-4) \end{gathered}`

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.

`\begin{gathered} A^(\prime)(-1,1) \\ B^(\prime)(-1,4) \\ C^(\prime)(-3,4) \end{gathered}`

The image below shows this transformation.