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 ill-structured problem. By
“construction,” we mean adding geometric figures (points, lines,
planes) to a problem figure that wasn’t mentioned as "given."