Explorations of a Problem with Two Squares
Library Home || Full Table of Contents || Suggest a Link || Library Help
|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 counter-clockwise, 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 (9-12)|
|Resource Types:||Lesson Plans and Activities, Documents/Sketches/Galleries, Geometer's Sketchpad|
|Math Topics:||Graphing Equations, Constructions, Triangles and Other Polygons|
© 1994-2014 Drexel University. All rights reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.