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Task #5: The Parallel Postulate

Complete the following task to demonstrate the Parallel postulate. 1. Toolbar ImagePlace a point C somewhere in the plane not on the line AB. 2. Toolbar ImageUse the Parallel Line tool to make a parallel line to AB through point C. 3. Toolbar ImageMove the point C about the plane to demonstrate the Parallel Postulate, then answer the questions below.

How does your construction demonstrate the Parallel Postulate? (What type of reasoning is this, inductive or deductive?)

Does your construction prove that the Parallel Postulate is true?