Given:
Point G is located at (3,6).
Point G is reflected over the x-axis to create point G'.
Point G' is then reflected over the y-axis to create point G''.
To find:
The ordered pair that describes the location of G''.
Solution:
The given point is G(3,6).
Point G is reflected over the x-axis to create point G'.
[tex](x,y)\to (x,-y)[/tex]
[tex]G(3,6)\to G'(3,-6)[/tex]
Point G' is then reflected over the y-axis to create point G''.
[tex](x,y)\to (-x,y)[/tex]
[tex]G'(3,-6)\to G''(-3,-6)[/tex]
Therefore, the ordered pair (-3,-6) describes the location of G''.
