[color=#000000]The[/color][color=#ff0000] MIDSEGMENT OF A TRIANGLE [/color][color=#000000]is a[/color][color=#ff0000] segment that connects the midpoints of and 2 of the triangle's sides[/color][color=#000000].  [br][br][/color]In the applet below, be sure to change the locations of the triangle's vertices [i]before[/i] sliding the slider.  Be sure to drag the slider several times.  As you do, pay close attention to the phenomena you're observing.  [br][br]After interacting with the applet below for a few minutes, please answer the questions that follow.  [br][br][br][br]

[color=#000000][b]Questions:  [/b][br][br]1) What [b]2 facts[/b] does this applet illustrate about the[/color][color=#ff0000] midsegment of any triangle[/color][br][color=#000000][b]    [/b]with respect to the triangle's 3rd side?  [/color][color=#ff0000] [/color][br] [color=#000000][br]2) Formally prove these 2 statements true using either the format of a 2-column proof,[br]    coordinate geometry proof, or paragraph proof.  [/color]

Created by [url=https://www.geogebra.org/u/tbrzezinski]Tim Brzezinski[/url][br]https://www.geogebra.org/m/NjQaYTCV#material/m55mTjXE