Question

help?!?!?!!? (medal will be given)
Triangle QRS is similar to triangle TUV. Using the image below, prove that parallel lines have the same slope. You must show all of your work to receive credit.

Answer 1

@Directrix HELP plz

Answer 2

i think that you need to find the co-ordinates of the points (vertices) and then you can solve this (as per the graph is plotted)
you can do it like this
first find the co-ordinates of the points of side TU i.e. the co-ordinates of the points T and U
then find the co-ordinates of points Q and R of side QR of triangle PQR
and then find their slope by the formula
m=(y2-y1)/(x2-x1)
hope this helps you

Answer 3

@rajat97
SLOPE= Y2-Y1 OVER X2-X1
TU= (4,2) (4,5)
5-2 OVER 4-4 = 3 OVER 0
QR= (-2,1) (-2,7)
7-1 OVER -2--2= 6 OVER 0

Answer 4

yes you are right and the slopes of both the sides come out to be infinite(as they are mutually parallel to the y axis and the y axs has its slope = infinite)
or else if you are not satisfied with this , you can do this same with any other side like
SQ and VT
and good job!

Answer 5

okay , to show paralle line have same slope , use the equation of slope to find the slope of a pair of parallel lines the eqn is y2 - y1/x2 - x1 in line segment SR , S = (-8,1) & R is (-2,7) so , y2 is 7 & y1 is 1
x2 is -2 & x1 is -8

Answer 6

>>5-2 OVER 4-4 = 3 OVER 0 This means "No Slope."

>>7-1 OVER -2--2= 6 OVER 0 This means No Slope.

Answer 7

@Directrix is right!

Answer 8

@sky577 With respect for your work, do read the posted question.

Your work does not indicate that you have used the given information in the original problem to answer this question:
prove that parallel lines have the same slope

Answer 9

is this correct
SR=(-8,1) (-2,7)
7-1 OVER -2--8 = 6 OVER 6 = 1
VU=(1,2) (4,5)
5-2 OVER 4-1 = 3 OVER 3 = 1

Answer 10

@luka1998

Odd discovery. I worked on this same problem 3 months ago and posted a solution.
Now, I have to wonder if it is correct.

Take a look.

http://ec2-23-21-188-156.compute-1.amazonaws.com/updates/52397052e4b0b9d6b2d771a8

Answer 11

@luka1998 Click on the attachment above. It makes sense although it is not a proof that all parallel lines in the world have the same slope.

Answer 12

yes @luka1998 you are right!
good goin!

Answer 13

thx

Answer 14

you're welcome