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1. The required other endpoint coordinates of line segment with one endpoint as (0,2) and a midpoint as (8,-9) is (16,-20).

   Let there be line segment AB with mid- point M . We have been given the coordinates of one endpoint and midpoint which are,  

                                       A(0,2)    and  M(8,-9)

   We have to find the coordinates of B of the line segment.

   We know the formula of midpoint which is given as ,

                                (xm , ym) = [(x1 + x2)/2  , (y1 + y2)/2]       (1)

   Where  (xm , ym) are the coordinates of the mid point which are (8,-9) and

                 (x1 , y1) = (0,2) are the coordinates of endpoint 1.

   Thus we have to find (x2 , y2) coordinates. Putting the required value in equation (1) we get

                           (8 , -9) = [(0 + x2)/2  , (2 + y2)/2]

   Therefore,    8 = x2/2                        -9 = (2+y2)/2

                        x2 = 16                           y2 = -20

   Hence the required coordinates of the other endpoint is B(16,-20)

   Learn more about mid point formula here : https://brainly.com/question/4728902

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