Point m is the midpoint of line ab. if the coordinates of m are 2,8) and the coordinates of a are (10,12) what are the coordinates of b

midpoint = (2, 8)

coordinate a = (10. 12)

let coordinate b = (x, y)

Find x:

0.5(10 + x) = 2

10 + x = 4 

x = 4 - 10

x = -6

Find y:

0.5(12 + y) = 8

12 + y = 16

y = 16 - 12 

y = 4

Coordinate b = (-6, 4)

linear pair postulates

answer: the correct option is d.

explanation:

it is given that the triangle j'k'l' shown on the grid below is a dilation of triangle jkl using the origin as the center of dilation.

from the given graph it is noticed that k(4,8) and k'(2,4). let origin is defined by o and scale factor is defined by k, then

    (1)

distance formula,

put these values in equation (1).

therefore scale factor is     and option d is correct.