11.2 Congruence Mappings The Investigation poses questions to generate interest in various mathematical topics from the text and encourages students to formulate and investigate their own conjectures. One use of the investigations is for term papers in which students report on their conjectures and the patterns they find. Click on the Read Me file below to open the investigation in a Word file: Read Me - Tessellations Instructions (Word Format) (35.0K) Click on Geometer's Sketchpad in the left menu for information GSP file--Investigation 11.2: Tessellations (15.0K) Laboratory Investigation 11.2Tessellations The following steps illustrate a method of altering the sides of an equilateral triangle to obtain a non polygonal figure that will tessellate. These steps can be carried out with pencil and paper or by computer software programs. Step 1 Draw a curve from A to B. Step 2 Rotate the curve about point B so that A maps to C. Step 3 Label the midpoint of as D, and draw a curve from D to C. Rotate this curve about D so that C maps to A. Once the lines of the original figure have been erased, the figure that remains will tessellate. Starting Points for Investigations
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