Rutgers/Lucent ALLIES IN TEACHING MATHEMATICS AND TECHNOLOGY Grant 2000
Using technology not simply to do things better, but to do better things.

USING THE GEOMETER'S SKETCHPAD TO EXPLORE MIDPOINT QUADRILATERALS

I will begin by assuming that most of you have had some exposure to the Geometer's Sketchpad (GSP) before. As a review, show that you can:

To illustrate how the Sketchpad can be used to explore geometric relationships, follow the sequence of steps outlined below:

For example, one conjecture is that the inner figure is a parallelogram. You could confirm or deny that by measuring the slopes of the sides of both figures. If it's true, what reasonable explanation might there be for this?

Exploration: Assuming the inner figure is always a parallelogram, under what conditions is the inner figure a rectangle? … a rhombus? …a square?


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