Chapter 9: Transformations 9.7 Tesselations

repeating pattern of figures that completely covers a plane without gaps or overlaps think: tile, wallpaper, wrapping paper

Example 1 identify a transformation and the repeating figures in this tessellation

Example 1 identify a transformation and the repeating figures in this tessellation

Determining a tessellation figures in a tessellation do not overlap or leave gaps the sum of the measures of the angles around any vertex in a tessellation must be 360° if the angles around a vertex are all congruent, then the measure of each angle must be a factor of 360

Example 2 Determine whether a regular 18-gon tessellates a plane.

Example 2a Explain why you can tessellate a plane with an equilateral triangle.

Theorem 9-6 Every triangle tessellates.

Theorem 9-7 Every quadrilateral tessellates.

Tessellation Project Rules: –each tessellation must be an original drawing –no copy/paste from computer –the tessellation should cover the entire sheet of paper –tessellations should be colorful, with bold lines outlining the figure