Question

The coordinates of the midpoints of GH are M (4,3) and the coordinates of one endpoints are G (5,-6) the coordinates of the other endpoints are

Answer 1

Answer:

The co - ordinates of another end point is

(x,y) = (3, 12)

Step-by-step explanation:

step :-

mid point formula:-

Let $(x_{1} ,y_{1} ) and (x_{2} ,y_{2} )$ be any two end points

Mid point of two given points are

$(\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2} }{2} )$

let (x,y ) be the another end point

given one end point is (5,-6)

now by using mid-point formula , we get

$(\frac{x+5}{2} , \frac{y-6}{2} )$  this is equating to given mid-point is M(4,3)

now $(\frac{x+5}{2} , \frac{y-6}{2} )=(4,3)$

simplify , we get

$\frac{x+5}{2} =4 and \frac{y-6}{2} =3$

cross multiplication and simplify

$x+5 = 8 and y-6=6$

x = 3 and y = 12

The another point is (x,y) = (3,12)