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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:
  • It is parallel to the third side;
  • It has a length equal to half the length of the third side.

PROOF - PART 1

PROOF - PART 2