Supplementary Investigation 18

Triangle Pattern

Tool(s) Geometers Sketchpad

Data File(s) si18

Focus Using circles as a tool, a triangle may be constructed without resorting to measurement.

Tasks

1. Measure the sides of the triangle. Are they all the same? Measure the angles of the triangle. Are they all the same?

2. Surround the original triangle with triangles of the same size. Describe your strategy and list the distances and angles associated with the translations.

3. Do you think that the plane could be tiled with the triangle? Explain your reasoning.

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