CPM Homework Help : CCG Problem 7-135

Consider $ΔABC$ with vertices $A(2,3)$ , $B(6,6)$ , and $C(8,-5)$ .

Draw $ΔABC$ on graph paper. What kind of triangle is $ΔABC$ ? Prove your result.
Reflect $ΔABC$ across $\overline{AC}$ . Find the location of $B'$ . What name best describes the resulting figure? Prove your claim.

Hint (all):

When proving things algebraically, use slope formula and distance formula to justify conclusions.
Remember when slopes are equal lines are parallel, if slopes are negative reciprocals then lines are perpendicular.

Use the eTool below to help solve the problem.
Click on the link at the right for the full eTool version: 7-135 HW eTool