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Quad Tessellate
The initial challenge is to attempt to draw a quadrilateral that does not tessellate. There is a Geogebra file included with the resources that will help demonstrate the impossibility of the task. The Geogebra file works by updating a tessellation live as a vertex is dragged, giving a very pleasing visual representation of the result.
Having established in a visual sense that quadrilaterals tessellate, attention turns to providing a formal proof.
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