# Triangle Midsegment

- Author:
- Tim Brzezinski

- Topic:
- Angles, Line Segment, Triangles

The MIDSEGMENT OF A TRIANGLE is a segment that connects the midpoints of and 2 of the triangle's sides.
In the applet below, be sure to change the locations of the triangle's vertices

*before*sliding the slider. Be sure to drag the slider several times. As you do, pay close attention to the phenomena you're observing. After interacting with the applet below for a few minutes, please answer the questions that follow.**Questions:** 1) What

**2 facts**does this applet illustrate about the midsegment of any triangle

**with respect to the triangle's 3rd side? 2) Formally prove these 2 statements true using either the format of a 2-column proof, coordinate geometry proof, or paragraph proof.**