Question

The midpoint of DG is M(-1,5). One endpoint is D(1,4). Find the

Coordinates of the other endpoint G.

Answer 1

G(-3, 6)

Explanation:

`midpoint = ( (x1 + x2)/(2) , (y1 + y2)/(2) )`

Substitute the coordinates of M and D into the formula:

`( - 1,5) = ( (x1 + 1)/(2) , (y1 + 4)/(2) ) \\- 1=(x1 + 1)/(2)& ,&5&= (y1 + 4)/(2) & \\ - 1(2)= x1 + 1&, & 5(2) &= y1 + 4 &\\ - 2= x1 + 1&, &10 &= y1 + 4 &\\ x1= - 2 - 1&,& y1 &= 10 - 4 &\\ x1= - 3&, &y1& =6 \: \: \: \: \: \: \: \: \: \: &`

Thus, the coordinates of G is (-3,6).