### Home > GC > Chapter 9 > Lesson 9.1.2 > Problem9-23

9-23.

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

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

Use the Pythagorean Theorem to find the length of $AB$.

2. Reflect $ΔABC$ across the $x$-axis to form $ΔA'B'C'$. What are the coordinates of $B'$?

3. Rotate $ΔA'B'C'$ $90°$ clockwise ($\circlearrowright$) about the origin to form $ΔA''B''C''$. What are the coordinates of $C''$?

4. Translate $ΔABC$ so that $(x, y) → (x + 5, y + 1)$. What are the new coordinates of point $A$?

Use the eTool below to solve each part of the problem.
Click the link at right for the full version of the eTool: 9-23 HW eTool (Desmos)