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Home > CC4 > Chapter 7 > Lesson 7.2.3 > Problem 7-109

  1. Consider ΔABC with vertices A(2, 3), B(6, 6), and C(8, –5). 7-109 HW eTool (Desmos). Homework Help ✎

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

    2. Reflect ΔABC across AC to create ΔABC′. Find the location of B′. What kind of triangle is ∆BBC? Justify your answer?

Compare the slopes of segment AB and segment AC. 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 ∠B compare to ∠B' and segment BC and segment B'C?

Use the eTool below to help solve the problem.
Click the link at the right to view full version of the eTool: Int1 7-109 HW eTool.