The figure below shows a parallelogram ABCD.
E is a point on AD extended. BE cuts AC at F and CD at G. If BF = EG and
BC = 3, find AE.
Geometry problem solving is one of the
most challenging skills for students to learn. When a problem
requires auxiliary construction, the difficulty of the problem
increases drastically, perhaps because deciding which
construction to make is an illstructured problem. By
“construction,” we mean adding geometric figures (points, lines,
planes) to a problem figure that wasn’t mentioned as "given."
