Posts Tagged ‘Playfair’s Axiom’

Monday Math 156

July 28, 2014

For a trapezoid, the median (also known as the midline or mid-segment) is the segment connecting the midpoints of the legs of the trapezoid. This post presents a proof that:

  1. the median of a trapezoid is parallel to the bases;
  2. the length of the median is half the sum of the lengths of the bases;
  3. the midpoints of the diagonals of a trapezoid also lie on its midline.