### Home > INT2 > Chapter 1 > Lesson 1.3.4 > Problem1-115

1-115.

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

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

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

2. Translate $ΔABC$ so that$(x,\ y)→(x+5,y+1)$. What are the coordinates of image point $A'$?

3. 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 $ΔA''B''C''$.

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

Use the eTool below to solve each part of the problem.
Click the link at right for the full version of the eTool: Int2 1-115 HW eTool