Question

Point NN is located at (-2,-6)(−2,−6) on the coordinate plane. Point NN is reflected over the yy-axis to create point N'N ′ . Point N'N ′ is then reflected over the xx-axis to create point N''N ′′ . What ordered pair describes the location of N''?N ′′ ?

Answer 1

Given:

Coordinates of point N = (-2,-6)

Point N is reflected over the y-axis to create point N ′.

Point N' is then reflected over the x-axis to create point N''.

To find:

The ordered pair that describes the location of N''.

Solution:

The coordinates of point N are (-2,-6). Point N is reflected over the y-axis to create point N ′.

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

$N(-2,-6)\to N'(2,-6)$

Point N' is then reflected over the x-axis to create point N''.

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

$N'(2,-6)\to N''(2,6)$

Therefore, the ordered pair for point N'' is (2,6).

Answer 2

Answer:

(-6,2)

Notice that the xx-coordinate and the yy-coordinate change sign when LL is reflected over the xx-axis and then reflected over the yy-axis.