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Problem 518: Parallelogram, Five Squares, Centers, 45 Degrees,
Measure.
Level: High School, College, SAT Prep.
The drawing shows a parallelogram ABCD with the squares of center E, F,
G, and H. Prove that (1) EFGH is a square, (2) .
Geometry problem solving
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."

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