Question

Midpoint is (-19,-19), endpoint (-18,-11) what is the other endpoint?!

Answer 1

Given: Midpoint is (-19,-19), endpoint (-18,-11)

so, as shown C is the midpoint of AB

C = ( -19 , -19)

Let one of the endpoint like B = (-18 , -11)

So, it is required to find A

We should know that:

`\begin{gathered} C=(A+B)/(2) \\ A+B=2C \\ A=2C-B \\ A=2\cdot(-19,-19)-(-18,-11) \\ A=(-38,-38)-(-18,-11) \\ A=(-38,-38)+(18,11) \\ A=(-20,-27) \end{gathered}`

so, the other end point is (-20, -27)