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

Answer:

• You are right, the coordinates are:

                                                               $(h+m,n)$

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).