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In this third in the sequence of three optional lessons, students examine tessellations using non-regular polygons. Students first study triangles and show that any triangle can tessellate the plane. This work calls back to an important idea that students studied in grade 6: two copies of a triangle can be put together to make a parallelogram. Next, students show that all quadrilaterals can also tessellate the plane by using rigid motions and the fact that the sum of the angles in a quadrilateral is always
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