Question

Given H(6,7) and I (-7,-6) if point G lies 1/2 of the way long line segment HI, Santiago argues that point G is located at the origin. Is Santiago Correct. Justify your answer

Answer 1

A point that is half way of line segment is the midpoint

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

Mid point of HI = ($\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}$)
Mid point of HI = ($\frac{6+-7}{2}, \frac{7+-6}{0})$
Mid point of HI = ($- \frac{1}{2} , \frac{1}{2}$)

Santiago's statement is not correct