Question

Point w id located at (-2,3) on a coordinate plane. Point W is reflected over the x-axis to create point W" is then reflected over the Y- axis to create point W". What ordered pair describes the location of point W" ?

Answer 1

W'' = (2, -3)

Explanation:

Reflection over the x-axis negates the y-coordinate and leaves the x-coordinate alone. The W becomes ...

... W' = (-2, -3)

Reflection over the y-axis negates the x-coordinate and leaves the y-coordinate alone. The W' becomes ...

... W'' = (2, -3)

Answer 2

The coordinates of point W'' are (2,-3).

Explanation:

The coordinates of given point are W(-2,3).

If point W is reflected over the x-axis, then

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

`W(-2,3)\rightarrow W'(-2,-3)`

If point W' is reflected over the y-axis, then

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

`W'(-2,-3)\rightarrow W''(2,-3)`

Therefore the coordinates of point W'' are (2,-3).