Question

Reflect traingle ABC with A (3,-1) B(1,-5) and C(-2,-2) in the x-axis. What are the coordinates of B?

Answer 1

The reflected co-ordinates of B is
`B'(1,5)`.

Explanation:

Given:

A triangle ABC with
`A(3,-1), B(1,-5)\textrm{ and }C(-2,2)`.

The triangle is reflected about x axis.

The co-ordinate rule for reflection about the x axis is given as:

`A(x,y)\rightarrow A'(x,-y)`

So, only the
`y` value of the point changes sign.

As the
`y` value of B was -5, after reflection it will become
`-(-5) = 5`.

So, new co-ordinates of B will be
`B'(1,5)`.