Skowhegan Area High School

Contemporary Mathematics In Context                                                                                      skowbutton msadbutton
Parallelograms and Deductive Proofs
parallel
Adam has ventured to a roundabout circling the great monument.  He wants to drive around to view the monument but there is a slight problem.  Adam can only drive faster than 50 mph!!!  He thinks the road might be a perfect parallelogram as well.  The only thing that Adam could think to do to manage the roundabout at 50 mph was to execute perfect E-brake turns.  He completed the roundabout with no problems.  Adam now wants to brag about what he has done.  The E-brake turns were impressive, but determining whether the roundabout is in the shape of a perfect parallelogram would really be something!

This diagram represents his trip:
Adam proved that ABCD was a parallelogram through the following deductive proof.