Chapter 9: Transformations 9.7 Tesselations. repeating pattern of figures that completely covers a...
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Transcript of Chapter 9: Transformations 9.7 Tesselations. repeating pattern of figures that completely covers a...
Chapter 9: Transformations
9.7
Tesselations
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