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 = $[ \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}]$
Mid point = [$[ \frac{6+-7}{2}, \frac{7+-6}{2}]$
Mid point = $[ \frac{-1}{2}, \frac{1}{2}]$

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