1. Midsegment
Defintion: the segment connecting the midpoints of the two nonparallel sides of a trapezoid. In a triangle, the segment connects the midpoints of any two sides.
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2. Three Midsegments Conjecture
Conjecture: The three midsegments of a triangle divide it into four congruent triangles.
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3. Triangle Midsegment Conjecture
Conjecture: A midsegment of a triangle is parallel to the third side (side its not touching) and half the length of the third side.
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4. Trapezoid Midsegment Conjecture
Conjecture: The midsegment of a trapezoid is parallel to the bases and is equal in length to the average of the lengths of the bases.
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