### Home > INT1 > Chapter 9 > Lesson 9.2.2 > Problem9-63

9-63.

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

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

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

3. Rotate $ΔA′B′C′$ $90º$ clockwise ($↻$) about the origin to form $ΔA′′B′′C′′$. What are the coordinates of $C′′$?

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.

Use the eTool below to solve each part of the problem.
Click the link to the right for full version: Int1 9-63 HW eTool.