translating polygons

[jenjordan1]

The question has to do with drawing an image on a line graph after a specified reflection. we understand translation and reflection of ploygons. But we have a question that says "Reflect in the line x=2." there is a line graph with a right triangle with coordinates A (-4,0), B (-4,5) and C (0,0). Help?! thanks.

 

[soroban]

Hello, jenjordan1!

Did you make a sketch?

\(\displaystyle \text{Right triangle with vertices: }\,A(-4,0),\; B(-4,5),\; C(0,0).}\;\;\text{Reflect in the line }x=2\)

                |
        B       |   :           B'
        o       |   :           o
                |   :
                |   :
                |   :
    - - o - - - o - + - o - - - o - - -
        A       C   2   C'      A'

$\displaystyle A\text{ is 6 units to the left of the axis }(x = 2).$

. . $\displaystyle A'\text{ will be 6 units to the }right\text{ of the axis: }\:A'(8,0)$

And so on . . .