Question

M is the midpoint of AB
A(2,14) and M(8,11) Find the coordinates of the missing endpoint.

Answer 1

Answer:

Therefore, the coordinates of the missing endpoint.is

$B(x_{2},y_{2})=(14,8)$

Step-by-step explanation:

Given:

M is the midpoint of AB

Let ,

A(x₁ , y₁) = (2,14) and

M( x , y ) = (8,11)

To Find:

B(x₂ , y₂) = ?

Solution:

M is the midpoint of AB  then By Mid point Formula  the Coordinate of M is given by,

$Mid\ point(AB)=(\dfrac{x_{1}+x_{2} }{2}, \dfrac{y_{1}+y_{2} }{2})$

Substituting the values we get

$M(8,11)=(\dfrac{2+x_{2} }{2}, \dfrac{14+y_{2} }{2})$

By Equality property we have

$8=\dfrac{2+x_{2} }{2}\ and\ 11=\dfrac{14+y_{2} }{2}$

$16=2+x_{2}\ and\ 22=14+y_{2}$

$16-2=x_{2}\ and\ 22-14=y_{2}$

$14=x_{2}\ and\ 8=y_{2}$

Therefore, the coordinates of the missing endpoint.is

$B(x_{2},y_{2})=(14,8)$