Difficulties with "cut-reassemble" transformation - preparing for Cavalieri's Principle
- Author:
- Nick Wasserman
Instructions
Use this dynamic activity to explore the "cut-reassemble" and area-preserving transformation of parallelogram. Drag the vertex of the parallelogram with the blue dot and explore different "cut reassemble" transformations of parallelograms. Observe how the parallelogram be cut into several sections and how are these sections being reassembled to a rectangle with the same area.
Reflection Questions
Under what kind of properties the parallelogram does not resemble a rectangle with a triangle on either end like the one usually showed in the secondary mathematics class? What would happen if you keep dragging the vertex horizontally towards infinity?