On a coordinate grid, graph $ΔABC$ if $A(–3, – 4)$, $B(–1, –6)$, and $C(–5, –8)$.   

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

   Hint (a):

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

2. Reflect $ΔABC$ across the $x$-axis to form $ΔA^\prime B^\prime C^\prime$. What are the coordinates of $B^{\prime}$? Describe the function that would change the coordinates of $ΔABC$ to $ΔA^\prime B^\prime C^\prime$.

3. Rotate $ΔA^\prime B^\prime C^\prime$ $90º$ clockwise ($↻$) about the origin to form $ΔA^{\prime\prime} B^{\prime\prime} C^{\prime\prime}$. What are the coordinates of $C^{\prime\prime}$?

4. Translate $ΔABC$ so that $(x, y) → (x + 8, y + 6)$. Describe the translation as a movement a certain distance along a line parallel to the line of translation.