Triangle Midsegment and Trapezoid Midsegment, with Theorems

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Presentation transcript:

Triangle Midsegment and Trapezoid Midsegment, with Theorems

Definition of terms Triangle Midsegment Theorem: The midpoint of two sides of the triangle create a line that is parallel to the third side Trapezoid midsegment Theorem: Trapezoid midsegment(median) is parallel to the base of it’s length

Midsegment Diagrams

Why midsegments are important in life? If you needed to get to a place you would know that the midsegment is half of the base so it would save you time. It would be parallel to the base and would have all of the same angle measures. If you're building something depending on an architect's point of view. You want to know that it will be able to sustain itself and its weight.

Real world pictures Chichen Itza Food Pyramid Midsegment Midsegment

Links for more info. http://study.com/academy/lesson/midsegment-theorem-formula.html http://www.regentsprep.org/regents/math/geometry/gp9/ltrapezoid.htm http://www.geom.uiuc.edu/~dwiggins/conj20.html http://regentsprep.org/regents/math/geometry/gp10/midlinel.htm https://www.youtube.com/watch?v=O2bf1mZQWXI https://www.youtube.com/watch?v=wslcvpXHaJA