Question

How do you find the coordinates of the other endpoint of a segment with the given Endpoint: A(2,7) and midpoint: M(1,6)?

Answer 1

Other endpoint is `(0,5)`

Explanation:

The midpoint of a segment with endpoints as `(x_1,y_1)` and `(x_2,y_2)` is `((x_1+x_2)/2,(y_1+y_2)/2)`

Here we have been given one endpoint as `A(2,7)` and let the other endpoint be `B(x,y)`. As their midpoint is `M(1,6)`, we must have

`(x+2)/2=1` i.e. `x+2=2` or `x=0` and

`(y+7)/2=6` i.e. `y+7=12` or `y=5`

Hence, other endpoint is `(0,5)`