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

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CEO
Joined: 21 Jan 2007
Posts: 2760
Location: New York City
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Kudos [?]: 389 [0], given: 4

A given line segment has the endpoints (3,2) and (4,7). a. [#permalink]  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
Joined: 21 May 2007
Posts: 120
Followers: 1

Kudos [?]: 11 [0], given: 0

Re: endpoints [#permalink]  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
SVP
Joined: 28 Dec 2005
Posts: 1579
Followers: 2

Kudos [?]: 91 [0], given: 2

Re: endpoints [#permalink]  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

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) ...
Director
Joined: 23 Sep 2007
Posts: 793
Followers: 5

Kudos [?]: 108 [0], given: 0

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?
CEO
Joined: 21 Jan 2007
Posts: 2760
Location: New York City
Followers: 9

Kudos [?]: 389 [0], given: 4

(8.5, 3.5)
and
(-1.5, 5.5)
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