Drexel dragonThe Math ForumDonate to the Math Forum

The Math Forum Internet Mathematics Library

Explorations of a Problem with Two Squares

_____________________________________
Library Home || Full Table of Contents || Suggest a Link || Library Help
_____________________________________

Visit this site: http://jwilson.coe.uga.edu/squareF/square.html
Author:Jim Wilson; Dept. of Mathematics Education, Univ. of Georgia
Description: 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)
Languages: English
Resource Types: Lesson Plans and Activities, Documents/Sketches/Galleries, Geometer's Sketchpad
Math Topics: Graphing Equations, Constructions, Triangles and Other Polygons

[Privacy Policy] [Terms of Use]

_____________________________________
Home || The Math Library || Quick Reference || Search || Help
_____________________________________

© 1994-2013 Drexel University. All rights reserved.
http://mathforum.org/
 The Math Forum is a research and educational enterprise of the Goodwin College of Professional Studies.The Math Forum is a research and educational enterprise of the Drexel University School of Education.