### Home > GB8I > Chapter 7 Unit 8 > Lesson INT1: 7.2.3 > Problem7-109

7-109.

Consider $ΔABC$ with vertices $A(2, 3)$, $B(6, 6)$, and $C(8, –5)$.

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

2. Reflect $ΔABC$ across $\overline{AC}$ to create $ΔA'B'C'$. Find the location of $B'$. What kind of triangle is $∆BB'C$? Justify your answer.

Compare the slopes of segment $\overline{AB}$ and segment $\overline{AC}$. 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 $\overline{BC}$ and segment $\overline{B'C}$?

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