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Mathematics 7 Online
OpenStudy (slinley):

Question is in Comments XD ----> Medal :)

OpenStudy (slinley):

OpenStudy (slinley):

@bibby @sleepyjess @SolomonZelman

OpenStudy (solomonzelman):

can you tell me the slope of the hypotenuse?

OpenStudy (slinley):

(2,2)...?

OpenStudy (slinley):

@SolomonZelman

OpenStudy (solomonzelman):

that is the what ? the R?

OpenStudy (slinley):

I think so....

OpenStudy (slinley):

I havent learned this yet, so Im kind on confused

OpenStudy (solomonzelman):

|dw:1419378592122:dw|this is what they mean that the hypotenuse of the triangle QRS is on the same line.

OpenStudy (slinley):

Ok

OpenStudy (solomonzelman):

I will plot the triangle and the point in desmos give me a sec

OpenStudy (slinley):

Ok

OpenStudy (solomonzelman):

https://www.desmos.com/calculator/9mdohxw99e

OpenStudy (solomonzelman):

triangle ABC is in red, and point Q is in black.

OpenStudy (slinley):

ok

OpenStudy (solomonzelman):

and you know that the hypotenuse of QRS is one half of the hypotenuse is 1/2 of the triangle ABC.

OpenStudy (slinley):

mhm

OpenStudy (solomonzelman):

and the hypotenuse of QRS is on the same line as the segment AB (the hypotenuse of ABC) there will be (actually) 2 possible answers.

OpenStudy (solomonzelman):

I am going to show you what I mean on the same line with AB if you don't get. I need a sec again

OpenStudy (slinley):

ok !

OpenStudy (solomonzelman):

https://www.desmos.com/calculator/lfpz6wx4ia

OpenStudy (solomonzelman):

sorry it is taking me too long to do those

OpenStudy (solomonzelman):

okay, see what I mean by extending the line AB?

OpenStudy (slinley):

nooo, its fine!

OpenStudy (slinley):

yes

OpenStudy (solomonzelman):

yes, the black point is Q, and we know that QR is the half of AB

OpenStudy (slinley):

right

OpenStudy (solomonzelman):

okay, can you give me 1 possible point where R should be (provided that it is on that extended line of AB)

OpenStudy (solomonzelman):

and provided that QR is 1/2 of AB in size.

OpenStudy (solomonzelman):

https://www.desmos.com/calculator/stfu2fuetu

OpenStudy (slinley):

ok,

OpenStudy (solomonzelman):

can you give me one point where R can be?

OpenStudy (slinley):

yes

OpenStudy (bibby):

why at least one? aren't both the triangles oriented the same way

OpenStudy (slinley):

-2.......?

OpenStudy (solomonzelman):

bibby, it says that QR is on the same line as AB, and gives as the Q, and also tell us that QR is 1/2 of AB in size

OpenStudy (slinley):

I dislike slopes....lol

OpenStudy (bibby):

it gives us Q, and we have half the length of AB, isn't there only one place R can be?

OpenStudy (solomonzelman):

it can be going either right down, and up left, no?

OpenStudy (bibby):

there is no up left. a corresponds to q

OpenStudy (solomonzelman):

as I indicated in my last graph

OpenStudy (bibby):

I'll drop out and let you continue, sorry

OpenStudy (slinley):

who?!

OpenStudy (bibby):

solmon

OpenStudy (solomonzelman):

bibby, https://www.desmos.com/calculator/sx23ltra3f

OpenStudy (bibby):

the way I see it, a corresponds to q r corresponds to b

OpenStudy (solomonzelman):

who said that?

OpenStudy (slinley):

So the answer will be ? V__V

OpenStudy (solomonzelman):

but just go up, anyway they are probably looking for that

OpenStudy (bibby):

"similar and same orientation"

OpenStudy (bibby):

rofl please don't address this anymore, just continue as you were

OpenStudy (solomonzelman):

ABC and QRS therefore, A->Q B->R C->S I can see your claim

OpenStudy (solomonzelman):

okay, I said enough.. this: https://www.desmos.com/calculator/bil0czt00p should be enough to figure the answer out

OpenStudy (slinley):

ok

OpenStudy (solomonzelman):

still having trouble understanding?

OpenStudy (slinley):

sorry, but yes im having diffuculties figuring out the answer

OpenStudy (slinley):

@SolomonZelman

OpenStudy (solomonzelman):

okay, do you understand that R has to be a point somewhere on the dotted line that I labeled? (black point that is there is Q)

OpenStudy (slinley):

Yes

OpenStudy (solomonzelman):

okay, and you know that R is a point that would make a segment (segment RQ, I mean) a HALF size of AB.

OpenStudy (slinley):

Yes

OpenStudy (solomonzelman):

go ahead an type, never feel you are interrupting me....

OpenStudy (slinley):

ok, and its fine

OpenStudy (solomonzelman):

can you find the point for R on the dotted black line, so that QR will be 1/2 of AB?

OpenStudy (slinley):

4,-7

OpenStudy (solomonzelman):

that would be going down to the right. (and it is debatable to be correct, but you see the idea) I am posting a new graph: https://www.desmos.com/calculator/bil0czt00p find another such point for me please.

OpenStudy (slinley):

0,-1

OpenStudy (solomonzelman):

yes

OpenStudy (solomonzelman):

that is the R.

OpenStudy (slinley):

so, is that the firs part?

OpenStudy (solomonzelman):

that is the point R. that is the second part.

OpenStudy (slinley):

i mean second

OpenStudy (solomonzelman):

now you need to find the slope of the segment AB.

OpenStudy (slinley):

ok, and the 1st part is?

OpenStudy (solomonzelman):

yes, the slope of AB is your part 1

OpenStudy (bibby):

find the slope given your q and r

OpenStudy (solomonzelman):

\(\large\color{black}{ m=\frac{\LARGE y_1-y_2 }{\LARGE x_1-x_2} }\)

OpenStudy (slinley):

I have 2 more min On this question!! :)

OpenStudy (bibby):

sigh

OpenStudy (solomonzelman):

\(\large\color{black}{ m=\frac{\LARGE y_1-y_2 }{\LARGE x_1-x_2} }\) \(\large\color{black}{ (x_1,y_1) = (2,-4) }\) and \(\large\color{black}{ (x_2,y_2) = (0,-1) }\)

OpenStudy (solomonzelman):

plug it in and give me the slope, it will be quick

OpenStudy (slinley):

so the first part is .. 2,-4 ?

OpenStudy (solomonzelman):

the slope.... (not the point()

OpenStudy (solomonzelman):

again: \(\large\color{black}{ m=\frac{\LARGE y_1-y_2 }{\LARGE x_1-x_2} }\) \(\large\color{black}{ (x_1,y_1) = (2,-4) }\) and \(\large\color{black}{ (x_2,y_2) = (0,-1) }\) So, \(\large\color{black}{ m=\frac{\LARGE -1-(-4) }{\LARGE 2-0} =? }\)

OpenStudy (solomonzelman):

I did it wrong sorry

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