CK12 - Geometry

Thus,we have shownthat the diagonalsare congruent.. Therefore,trapezoid
is isosceles.

TrapezoidMedians

Trapezoidscan also havesegmentsdrawnin calledmedians.The medianof a trapezoidis a segmentthat
connectsthe midpointsof the non-parallelsidesin a trapezoid.The medianis locatedhalf way betweenthe
basesof a trapezoid.

Example 5

In trapezoid below, segment is a median.Whatis the lengthof

The medianof a trapezoidis a segmentthat is equidistantbetweenboth bases.So, the lengthof will

be equalto half the lengthof. Sinceyou knowthat inches,you can dividethat valueby 2.

Therefore, is 4 inches.

Theorem:The lengthof the medianof a trapezoidis equalto half of the sum of the lengths

of the bases

This theoremcan be illustratedin the exampleabove,