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

7-109.

Consider Δ

*ABC*with vertices*A*(2, 3),*B*(6, 6), and*C*(8, –5).*7-109 HW eTool*(Desmos). Homework Help ✎Draw Δ

*ABC*on graph paper. Is Δ*ABC*a right triangle? Justify your answer.Reflect Δ

*ABC*across*AC*to create Δ*A*′*B*′*C*′. Find the location of*B*′. What kind of triangle is ∆*BB*′*C*? 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.