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Problem 354. Rhombus, Square, 45 degrees.
Level: High School, College, SAT Prep.

The figure shows a rhombus ABCD with the square BCEF. If G is the intersection point of AC and DE prove that the measure of the angle AGD is 45 degrees.
 

Rhombus, Square

 


 

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."

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