Draw a counter example that shows that the statement, "if a segment is parallel to one side of a triangle and intersects two other sides then it must be the midsegment of that triangle" is false.

Question

Please explain how i can prove this wrong! Thanks!

Answer 1

just draw a line parallel to one side, but almost on top of it. It is surely not the midsegment.

In fact, of all the possible parallel lines, only one is the midsegment!