Question

Point GG is located at (3,6)(3,6) on the coordinate plane. Point GG is reflected over the xx-axis to create point G'G ′ . Point G'G ′ is then reflected over the yy-axis to create point G''G ′′ . What ordered pair describes the location of G''?G ′′ ?

Answer 1

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'.

$(x,y)\to (x,-y)$

$G(3,6)\to G'(3,-6)$

Point G' is then reflected over the y-axis to create point G''.

$(x,y)\to (-x,y)$

$G'(3,-6)\to G''(-3,-6)$

Therefore, the ordered pair (-3,-6) describes the location of G''.