### Home > CCG > Chapter 9 > Lesson 9.1.2 > Problem9-25

9-25.

On graph paper, graph $ΔABC$ if $A(−3, −4), B(−1, −6),\text{ and }C(−5, −8)$.  9-25 HW eTool (Desmos).  Homework Help ✎

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 $B'$? Describe the function that would change the coordinates of $ΔABC$ to $ΔA'B'C'$.

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: CCG 9-25 HW eTool