Assignment #6
Nicole Mosteller
EMAT 6680


Figure 1:  Parallel lines are needed to construct DEAJ with 
the sides of DEAJ are the same length as the medians of DABC.

First, construct a line through point E that is parallel to segment BF.  Next, construct a line through point F
that is parallel to segment BC.  Let the point of intersection be point J.  Quad. BFJE is a parallelogram with
opposite sides side congruent.  Segment BF is congruent to segment EJ.
Using a similar construction, we see that quad. AJCD is a parallelogram with opposite sides congruent.
Segment AJ is congruent to segment DC.

DEAJ has been constructed so that the sides are the same as the medians of DABC.

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