Triangle Midsegment

Analysis 1
In the previous geometric construction, vertices D and E are midpoints. Change the position of vertices B or C. Observe the measurements of segments BC and DE. What do you notice?
Property 1
If a line segment joins the midpoints of two sides of the triangle, then: [br][list][*]It is parallel to the third side; [/*][*]It has a length equal to half the length of the third side. [/*][/list]
PROOF - PART 1
PROOF - PART 2
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Information: Triangle Midsegment