Respuesta :

Answer:

[tex]A' = (- 1, -8)[/tex]

[tex]B' = (-8, -8)[/tex]

[tex]C' = (-5, -1)[/tex]

Step-by-step explanation:

Given

[tex]A = (- 1, 8)[/tex]

[tex]B = (-8, 8)[/tex]

[tex]C = (-5, 1)[/tex]

Required

Determine the reflected image in the x axis

When a point is reflected across the x axis, the x coordinate remains the same, while the y coordinate is negated.

In other words,

[tex]A(x,y)[/tex] when reflected becomes [tex]A'(x,-y)[/tex]

So, for each of the following points

[tex]A = (- 1, 8)[/tex]

[tex]B = (-8, 8)[/tex]

[tex]C = (-5, 1)[/tex]

There images are:

[tex]A' = (- 1, -8)[/tex]

[tex]B' = (-8, -8)[/tex]

[tex]C' = (-5, -1)[/tex]