Midsegment Defintion: the segment connecting the midpoints of the two nonparallel sides of a trapezoid. In a triangle, the segment connects the midpoints.

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Presentation transcript:

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. Picture:

Three Midsegments Conjecture Conjecture: The three midsegments of a triangle divide it into four congruent triangles. Picture:

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. Picture:

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. Picture:

Let’s Practice…

Let’s Practice…

Let’s Practice…