The diagram below shows a quadrilateral ABCD
with the points E and G on AB, M and P on BC, H and F on CD, Q
and N on AD. Lines EF, GH, MN, and PQ form 5 circumscribed shade
quadrilateral, If AB = 3, BC = 6, and CD = 5, find AD.
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."
