### Home > INT1 > Chapter 8 > Lesson 8.1.3 > Problem8-49

8-49.

On graph paper, graph $ΔABC$ if $A(−4, −3)$, $B(−6, −1)$, and $C(−8, −5)$.

1. What is $\overline{AB}$ (the length of $\overline{AB}$)?

Use the Pythagorean Theorem to find the length of $\overline{AB}$.

2. Reflect $ΔABC$ across the $x$-axis to form $ΔA′B′C′$. What are the coordinates $B′$? Describe a function, $(x, y) → (?, ?)$, that would map the coordinates of $ΔABC$ to $ΔA′B′C′$.

When describing a function for a transformation, look at one point and its image and determine what changes happen to the $x$-coordinate and the $y$-coordinate.

Use the eTool below to answer the parts of the problem.
Click the link at right for the full version of the eTool: 8-49 HW eTool