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.

Answer 1

@phi @ganeshie8

Answer 2

@DragonFlame

Answer 3

:/ This is beyond me sry

Answer 4

Can you do area?

Answer 5

do you see points S and R ?
can you find the slope between S and R ?

Answer 6

-3/-3?

Answer 7

and the other is 3/3?

Answer 8

almost... you have to be careful about the signs.
R is (-2,5) S is (-5,2)
what is change in y divide by change in x ?

Answer 9

is that a formula?

Answer 10

for a better explanation see
http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/slope-and-intercepts/v/slope-of-a-line

Answer 11

wouldnt that be 3/3 then

Answer 12

yes, the slope from S to R is 3/3 or 1
the slope from U to V is -1

notice that if you multiply them: 1* -1 = -1
you get -1, which is true for all perpendicular lines.
\[ m_1 \cdot m_2 = -1 \]