Answer:
The reflected co-ordinates of B is [tex]B'(1,5)[/tex].
Step-by-step explanation:
Given:
A triangle ABC with [tex]A(3,-1), B(1,-5)\textrm{ and }C(-2,2)[/tex].
The triangle is reflected about x axis.
The co-ordinate rule for reflection about the x axis is given as:
[tex]A(x,y)\rightarrow A'(x,-y)[/tex]
So, only the [tex]y[/tex] value of the point changes sign.
As the [tex]y[/tex] value of B was -5, after reflection it will become [tex]-(-5) = 5[/tex].
So, new co-ordinates of B will be [tex]B'(1,5)[/tex].
