Question

In Exercise #2(c) from the class work we saw that a segment connecting two points on opposite sides of a

given line must intersect that line. Is it always true that a line connecting two points on the same side of
given line will be parallel to that given line?
le.

Answer 1

No it is not always true that a line connecting two points on the same side of a given line will be parallel to that given line

This is so because where the distances of one of the points is closer to the given line than the other point on the same side of the given line, then along a line that connects the two points, there will be points that are closer than the given two points to the given line as we move further down between the given line and the line connecting the two points

Therefore, the given line and the line drawn connecting the two points are not parallel because all points between both lines are not equidistant but rather tapered as both lines progress

Explanation: