Question

What are the missing coordinates? My teacher said it was (h-m,n), but I’m saying it is (h+m,n). Could anyone help?

Answer 1

• You are right, the coordinates are:

`(h+m,n)`

Step-by-step explanation:

Here is how you can proove that you are right.

Note that m is the x-coordinate of the point
`(m,n)` . Since this point is to the left of the y-axis, it is a negative number, but the negative sign is included in
`m`.

The distance from
`(m,n)` to the y-axis is not
`m` but
`-m`.

That is the same distance from the point with the missing coordinates to the point (h,0).

Then, the missing x-coordinate is
`h-(-m)=h+m.`

Of course, there is not doubt about the y-coordinate: it is n, because the point with the missing coordinates is at the same height as (m,n).

Hence, the missing coordinates are x = h+m, and y = n: (h + m, n).