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Feb 4, 2014 - “In a triangle, the segment joining the midpoints of any two sides will be parallel to the third side By the converse of the Corresponding Angles Theorem, we have DE || CB. *(angle): We have AD = DC (from above – definition of midpoint). Triangle Midsegment Theorem The segment joining the midpoints of two Example: Find the following measures in 4ABC. HJ. HJE LAC Midsegement TRIANGLE MIDSEGMENT THEOREM. “In a triangle, the segment joining the midpoints of any two sides will be parallel to the third side and half its length.”. 2) The Triangle Midsegment Theorem states that in any triangle, a segment joining the midpoints of any two sides will be. to the third side and. its length. 3) x =Feb 24, 2012 - GEOMETRY. Midsegment Theorem In any triangle, the segment joining the midpoints of any two sides -- called the. -- is is ______ to SE by definition of a definition. The mid-segment of a triangle (also called a midline) is a segment joining the midpoints of two sides of a triangle. definition. The mid-segment of a triangle (also called a midline) is a segment joining the midpoints of two sides of a triangle.