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Consider with vertices , , and .

  1. Draw on graph paper. Is a right triangle? Justify your answer.

  2. Reflect across to create . Find the location of . What kind of triangle is ? Justify your answer.

    Compare the slopes of segment and segment . What do you notice?
    What does that tell you about these lines?

    When a figure is reflected what is true about the corresponding angles?
    What about corresponding sides? Specifically how does compare to and segment and segment ?

    Use the eTool below to help solve the problem.
    Click the link at the right to view full version of the eTool: