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 = (
`(x_1+x_2)/(2), (y_1+y_2)/(2)`)
Mid point of HI = (
`(6+-7)/(2), (7+-6)/(0))`
Mid point of HI = (
`- (1)/(2) , (1)/(2)`)

Santiago's statement is not correct