Explorations of a Problem with Two Squares
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Jim Wilson; Dept. of Mathematics Education, Univ. of Georgia  
Given a square of side s and segments drawn from each vertex to the midpoint of the second side, counting counterclockwise, the segments intersect to form a new square. What is the ratio of the area of the shaded square to the area of the original square? Perhaps this is a "teachable moment" to discuss that in fact the shaded figure is a square. Why are the segments parallel and mutually perpendicular?  


Levels:  High School (912) 
Languages:  English 
Resource Types:  Lesson Plans and Activities, Documents/Sketches/Galleries, Geometer's Sketchpad 
Math Topics:  Graphing Equations, Constructions, Triangles and Other Polygons 
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