Question

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 to receive credit.

Answer 1

B(4,5) C(1,1) E(5,-4) F(1,-1)
Perpendicular lines require two lines to have slopes reciprocal to each other.

The slope of BC and the slope of EF should be reciprocal to each other to make them perpendicular.
y2 - y1
--------- = slope
x2 - x1
Slope of BC
1 - 5 -4
-------- = -----
1 - 4 -3
Slope of EF
-1 - - 4 -3
--------- = -----
1 - 5 -4
So -4/-3 and -3/-4 means its not opposite and reciprocal slopes

Answer 2

@campbell_st

Answer 3

@hartnn

Answer 4

HELP!!!

Answer 5

@nikato

Answer 6

Why are we posting multiple times?