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A given line segment has the endpoints (3,2) and (4,7). a.

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CEO
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A given line segment has the endpoints (3,2) and (4,7). a. [#permalink] New post 24 Dec 2007, 08:27
A given line segment has the endpoints (3,2) and (4,7).
a. What is the slope of the line perpendicular to the given line?
b. What are the other vertices of a square if the given line segment was a diagonal of a square?
Manager
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Re: endpoints [#permalink] New post 24 Dec 2007, 08:47
bmwhype2 wrote:
A given line segment has the endpoints (3,2) and (4,7).
a. What is the slope of the line perpendicular to the given line?
b. What are the other vertices of a square if the given line segment was a diagonal of a square?


D.


a. can find the slope of this line segment (7-2)/(4-3) and hence that of the line perpendicular to it.

b. u know the slope of other diagonal. The midpoint of this line segment is also the midpoint of the other diagonal. You can get the equation of the other diagonal. Then, using distance formula you can compute the other 2 vertices.
Am glad it's not PS and we dont have to calculate it :-D
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Re: endpoints [#permalink] New post 24 Dec 2007, 15:37
parsifal wrote:
bmwhype2 wrote:
A given line segment has the endpoints (3,2) and (4,7).
a. What is the slope of the line perpendicular to the given line?
b. What are the other vertices of a square if the given line segment was a diagonal of a square?


D.


a. can find the slope of this line segment (7-2)/(4-3) and hence that of the line perpendicular to it.

b. u know the slope of other diagonal. The midpoint of this line segment is also the midpoint of the other diagonal. You can get the equation of the other diagonal. Then, using distance formula you can compute the other 2 vertices.
Am glad it's not PS and we dont have to calculate it :-D


i think it is a PS, and you do have to solve for it

is A -1/5 ?

and for B, im getting that the length of each side is sqrt(26) ...
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 [#permalink] New post 24 Dec 2007, 18:15
is this a trick question?

if the given endpoints of the line segment are acting as vertices, the line can't a diagonal of a "square". it is a diagonal of a rectangle.

Am I missing something?
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 [#permalink] New post 25 Dec 2007, 19:57
(8.5, 3.5)
and
(-1.5, 5.5)
  [#permalink] 25 Dec 2007, 19:57
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A given line segment has the endpoints (3,2) and (4,7). a.

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