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Tessellations A tessellation is __________________________________________________________ _______________________________________________________________________ Tessellations can be created with _____________________, ______________________, and __________________________. You can find tessellations in: art nature real life Because the figures in a tessellation cannot overlap or leave gaps, the sum of the measures of the angles around any vertex must be _______. If the angles around a vertex are all congruent then the measure of each angle must be a ________________________. Note: Every triangle and quadrilateral will tessellate. Ex. Explain why equilateral triangles will tessellate in the plane. Ex. Will regular pentagons tessellate? Explain. Ex. Use the figure to create a tessellation on the dot grid Tessellations Creating Tessellations 1. Cut out the square below. 2. Draw a curve joining two consecutive vertices 3. Cut along the curve you drew and slide the cutout piece to the opposite side of the square. 4. Tape it in place. 5. Repeat this process using the other two opposite sides of the square. 6. Use your imagination. What does the new figure look like? 7. Draw the image on your figure. 8. Create a tessellation using your figure. 9. Cover your entire paper with the tessellation.