Question

Given H (6,7) and I (-7,-6), if point G lies 1/2 of the way along segment HI, Satiago argues that point G is located at the origin. Is satiago correct? Justify your answer.

Answer 1

Let H (6, 7) be (x₁, y₁) and I (-7, -6) be (x₂, y₂)

Mid point =
`[ (x_1+x_2)/(2), (y_1+y_2)/(2)]`
Mid point = [
`[ (6+-7)/(2), (7+-6)/(2)]`
Mid point =
`[ (-1)/(2), (1)/(2)]`

Santiago is not correct, the mid point is (-0.5, 0.5)