Tuesday, September 25, 2012

Deriving the Area of Parallelograms

Given below is a parallelogram with base b and height h. Move the two blue points to determine the shape and size of the parallelogram, and then move the red point to the extreme right and observe what happens.  This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com
Guillermo Bautista, Created with GeoGebra

Questions

  1. If the red point is on the extreme right of the segment, what shape is formed? Justify your answer. 
  2. What is the area of the shape in Question 1? 
  3. How is the area of the shape in Question 1 related to the area of the original figure?
  4. What is the area of the parallelogram in terms of b and h
  5. What can you conclude about the area of the parallelogram in the original figure and the area of the shape in Question1? 

Snapshot


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