In the figure below, ABCD is a square
and the measure of angle EAF is 45 degrees (E on BC and F on
CD). AE and AF intersect BD at G and H, respectively. Prove that
the areas of triangle AGH and quadrilateral EFHG are equal.

Mind Map: George Pólya's 1945 book,
"How to Solve It"
George Pólya's 1945 book "How to Solve It, A new aspect of
Mathematical Method", is a book describing methods of problem
solving. It suggests the following steps when solving a
mathematical problem: (1) First, you have to understand the
problem. (2) After understanding, then make a plan. (3) Carry
out the plan. (4) Look back on your work. How could it be
better?
A mind map is a diagram used to visually organize information, knowledge, concepts or ideas.
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10 Problems

Problems Art Gallery
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10111020
 Triangle

Square

Quadrilaterals

45 degrees
 Areas

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Solution / comment  by Antonio Gutierrez
Last updated: Sep 19, 2014
