1. Test whether the regular heptagon (7-gon) or the regular dodecagon (12-gon) gives a tessellation. . Verify that each of the following shapes - can tessellate by showing enough of the tessellation to be convincing. Color or \"decorate\" the tessellation (merely shading can add visual interest). *. a. Start with a square region and modify it to create a region that will tessellate. Modify the shape in two ways; add features and shading or coloring as you see fit. b. Start with a regular hexagonal region and modify it to create a region that will tessellate. Modify the shape in two ways; add features and shading or coloring as you see fit. Show that the follewing quadrilateral will tessellate. (If you can, use the grid as an zid, rather than tracing the quadrilateral and cutting the tracing out.) Add features and shading as you see fit. (Hint: Using the midpoint of a side, turn the shape 180.) . * o . * . o . e . e e e e L] . e e * * * * o o * e e e * * o o . Which of the pattern blocks in the \"Masters\" (available online at vww.macmillanlearning.com/reconceptmath3e) generate tessellations? More than one type of region can be used in a tessellation, as with the regular octagons and squares shown at right. Notice that the same arrangement of polygons occurs at each vertex. Show that the following combinations can generate tessellations: a. regular hexagons and equilateral triangles b. regular hexagons, squares, and equilateral triangles