Question

Help!!! Can someone help me out with this question?
Triangle QRS has been rotated 90° to create triangle TUV. Using the image below, prove that perpendicular lines have opposite and reciprocal slopes. You must show all of your work to receive credit.
I DO NOT want the exact answer, I want help getting through it. Thanks!!!!!

Answer 1

need the image

Answer 2

That's it.

Answer 3

@sweetnikkie072 @ninjasandtigers @phi

Answer 4

I will fan!

Answer 5

Are you able to find slope of a line through 2 given points?

Answer 6

Yes- I use the formula m=y^2-y^1/x^2-x^1, correct?

Answer 7

..... say slopes of lines through UV and RS

Answer 8

Great!

Answer 9

pray continue!

Answer 10

Okay... one sec

Answer 11

So for RS, I got 1.

Answer 12

Good job!

Answer 13

And the same for UV, but that seems wrong....

Answer 14

Watch signs!

Answer 15

-1?

Answer 16

Would that work? Because they are opposites and reciprocals?

Answer 17

@mathmate ?

Answer 18

Yes, that is a good validation of the rule.

Answer 19

However, it is not a \(proof\).
Not sure if you're expected to show a general proof, in which case the diagram of the reflection is not necessary.

Answer 20

I'm not sure.. I know that's not a full proof, so would I say that, and then find the equations??

Answer 21

Sorry, I'm a bit confused

Answer 22

If I were in your place, I would show your work, conclude that the two lines are perpendicular (geometric proof) AND that the two slopes are opposite and reciprocal. Then include a note that it is not a full proof, but a validation of the case in point and leave it at that.

Answer 23

Ok, thanks!

Answer 24

You're welcome! :)