Triangle ABC has been rotated 90° to create triangle DEF. Using the image below, prove that perpendicular lines have opposite and reciprocal slopes. You must show all of your work.

Question

anonymous · Answer

attachment

solomonzelman · Answer

@lowcard2
I am assuming that you can use the coordinates as "given"
You know that there is a rule that any perpendicular slope of  V  is  -1/V.
So you would find the slopes of the line and state that they are therefore perpendicular.

OK?

anonymous · Answer

@Directrix ?

emilylauren · Answer

EF's slope =-3/4 the corresponding BC slope=3/4
the same goes for all the points...