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

@IMStuck @jdoe0001

Answer 2

I just do not know how to put it in words because its hard to explain. But this is my response:

The slope of the perpendicular line is the negative reciprocal of the slope of the original line and two lines with slopes that are negative reciprocals of each other are perpendicular to each other.

Answer 3

That explanation is perfect! Do you need to show your work to prove it's true?

Answer 4

I think it's asking you to SHOW how this is true, not just put it into words.

Answer 5

Oh ok great! Yeah, I just do not how to do the work part. :(

Answer 6

Ok here are the coordinates of the line segments BC and EF:
B(4,5) C(1,1) E(5,-4) F(1,-1)

Answer 7

Mhm

Answer 8

Let's find the slope of each of these lines. Looking at the image, if we show our work correctly, and we are in fact correct, the slope of CD should be the opposite reciprocal of EF. So let's go!

Answer 9

alright working on it brb

Answer 10

4/3 and -3/4

Answer 11

Using B and C first to find the slope, we fill in the slope formula like this:\[\frac{ 1-5 }{ 1-4 }=\frac{ -4 }{ -3 }=\frac{ 4 }{ 3 }\]Oh you got it! good! SEe how easy that was?!

Answer 12

Woooh! thanks man!

Answer 13

TY for the medal!

Answer 14

ps, I'm not a man. I'm a ma'am. But that's ok, anyway!

Answer 15

of course you deserved it! haha my bad! :)

Answer 16

; ) no big deal.