Triangle Mid-segment Theorem

Seite 1

Mid-segment- of a triangle is a segment that connects the midpoints of two sides of a triangle.

The demonstration for the picture below...

In the figure D is the midpoint of line AB and E is the midpoint of line AC

So, line DE is a mid-segment

The Triangle mid-segment theorem- a mid-segment connecting two sides of a triangle is parallel to the third side and is half as long.

The demonstration for the picture below...

If AD = DB and AE = EC, then line DE ll line BC and DE = 1/2 BC.