Triangle Midsegments

[list=1][*]Create a triangle from three line segments, us the midpoint tool [icon]/images/ggb/toolbar/mode_midpoint.png[/icon] to add a midpoint on one of the sides, and then repeat on an opposite side.[/*][*]Create a line segment connecting both midpoints.[/*][*]Use the measure tool to measure the new line segment and the triangle side below the line segment. [/*][*]Move around a vertex of the triangle, what do you notice?[/*][/list]
Does what you notice always hold? Why do you think this might be true?
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Information: Triangle Midsegments