Mathguru – Help – Application of midpoint theorem.

8.2 The Mid-point theorem > No. 4

Application of midpoint theorem.

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Explanation:

Trapezoid

Trapezoid (AmE) Trapezium (BrE)
A Trapezoid
Type	quadrilateral
Edges and vertices	4
Area	$Description: Description: \tfrac{a + b}{2} h$
Properties	convex

In geometry, a quadrilateral with one pair of parallel sides is referred to as a trapezoid in American English and as a trapezium in English outside North America. A trapezoid with vertices ABCD is denoted ABCD orABCD.

http://en.wikipedia.org/wiki/Trapezoid

The above explanation is copied from Wikipedia, the free encyclopedia and is remixed as allowed under the Creative Commons Attribution- ShareAlike 3.0 Unported License.

(Our solved example in mathguru.com uses the below concept. This is our own explanation, it is not taken from Wikipedia.)

MID POINT THEOREM:

The line drawn through the midpoint of one side of a triangle parallel to another side bisects the third side.

Description: Description: http://media.wiley.com/Lux/63/18163.nfg028.jpg

If AD = DC and DE||CB then AE = EB