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Activity: Proof as Verification: Areas
Go to: http://www.keypress.com/.../Areas.zip (opens a new window)
Description:

Students form a conjecture about the ratio of two areas in a quadrilateral, and use Sketchpad to search for a proof. In the process they verify or disprove their results for two different kinds of quadrilaterals. The link to the activity itself is to a zip file that contains both the activity in pdf format and the corresponding sketch.

This is a free sample activity from Rethinking Proof with the Geometer's Sketchpad.

Technology Type: Sketchpad 
Author: Key Curriculum Press/Michael de Villiers
Language: English 
Cost: Does not require payment for use

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Activity: Rethinking Proof with The Geometer's Sketchpad
Tool: Proof as Verification: Areas
Courses: Geometry Logic and proof, Quadrilaterals