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. @waterineyes

Answer 1

ik i need to use the perpendicular proof... but idk lol

Answer 2

@campbell_st @jhonyy9

Answer 3

well use the points A(1, 1) and B(4, 5) find the slope

then look at the other triangle

F (1, 1) and E(5, -4) now find the slope

what do you get...?

Answer 4

oops F is (1, -1) and E is (5, -4)

Answer 5

4/3 ?

Answer 6

4 / -3

Answer 7

well AB is correct 4/3

and \[EF = \frac{-1 -(- 4)}{1 - 5}\]

so EF = 3/(-4) or EF = -3/4

Answer 8

oh ok

Answer 9

so AB = 4/3 and EF = -3/4

the slopes are opposite in sign( AB positive EF negative)

looking at AB = 4/3 the reciprocal is 3/4

so the lines meet the conditions.

Answer 10

thank you

Answer 11

AB or BC ?

Answer 12

wow we both got it wrong... should be BC...

Answer 13

that's correct...