1. Tessellations *Regular polygon: all sides are the same length (equilateral) and all angles have the same measure (equiangular)

2. Tessellations Formed when a picture, single tile unit, or multiple tile units in the form of some shape undergoes isometric transformations in such a way as to form a pattern that fills a plane in a symmetrical way without overlapping or leaving gaps.

3. What are some examples of tessellations in the everyday world?

4. Name of Regular Polygon Degree Measure of Each Interior Angle 360° Divided by Degree Measure of Interior Angle Equilateral triangle Square Regular pentagon Regular hexagon Regular heptagon Regular octagon Regular nonagon

5. Name of Regular Polygon Degree Measure of Each Interior Angle 360° Divided by Degree Measure of Interior Angle Equilateral triangle606 Square904 Regular pentagon1083.333333 Regular hexagon1203 Regular heptagon128.62.8 Regular octagon1352.7 Regular nonagon1402.6

6. In a tessellation the regular polygons used will fit together around a point (vertex) with no gaps or overlaps. When using congruent, regular polygons, interior measure of each angle will need to be a factor of 360° (divides evenly with no remainder). The only regular polygons that meet the requirements are the equilateral triangle, square, and regular hexagon. In order for a figure to tessellate, the sum of all interior angles that meet at a vertex must be 360°.