Question
Given a line l, let A be a point on l, and B another point not on l.
a. prove all the points of the line segment AB, except for A lie on the same side as B.
a. prove all the points of the line segment AB, except for A lie on the same side as B.
Answers
Steve
two lines can intersect in at most one point.
So, if there is a point P on AB on the opposite side from B, then PB intersects line l in some point besides A.
So, if there is a point P on AB on the opposite side from B, then PB intersects line l in some point besides A.