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Senior Manager
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In the rectangular coordinate below the line Y=X, is the [#permalink]
 23 May 2004, 05:22
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In the rectangular coordinate below the line Y=X, is the perpendicular bisector of segment AB (Not Shown), and X axis is the oerpendicular bisector of segment BC (Not Shown). If coordinates point A are (2,3), what are the coordinate points of C?
PS: this is an OG question. Does anybody know where can I download a PDF version of OG? that way I don't have to draw all this diagram?
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Manager
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PDF version of OG to be downloaded - now that is scary 
Actually, at least the verbal portion has been illegally scanned and was available for download on some Chinese sites. sorry, I have lost the links, but in any case, a legal copy is NOT available.
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Manager
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mirhaque wrote: In the rectangular coordinate below the line Y=X, is the perpendicular bisector of segment AB (Not Shown), and X axis is the oerpendicular bisector of segment BC (Not Shown). If coordinates point A are (2,3), what are the coordinate points of C?
PS: this is an OG question. Does anybody know where can I download a PDF version of OG? that way I don't have to draw all this diagram?
If I understand it correctly:
the reflection of point A(2,3) in life x=y, will give us B(3,2) and further reflection of B(3,2) in y=0 (x-axis) shall give us C(3,-2).
Though have lost my touch with Coordinate Geometry, this is how brain is working right now. 
Please let me know the correct answer.
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Senior Manager
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Quote: the reflection of point A(2,3) in life x=y, will give us B(3,2) and further reflection of B(3,2) in y=0 (x-axis) shall give us C(3,-2).
what's a reflection point? can you pls explain your logic?
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Senior Manager
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Great link on reflection & coordinate geometry. 
check this out:
http://www.csc.twu.ca/rsbook/Ch6/Ch6.9.html
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Director
Joined: 05 May 2004
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Location: San Jose, CA
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mirhaque wrote: In the rectangular coordinate below the line Y=X, is the perpendicular bisector of segment AB (Not Shown), and X axis is the oerpendicular bisector of segment BC (Not Shown). If coordinates point A are (2,3), what are the coordinate points of C?
PS: this is an OG question. Does anybody know where can I download a PDF version of OG? that way I don't have to draw all this diagram?
Ans (3,-2)
equation of orig line y=x
assume eq of line AB perp to y=x as y=mx+c
as this line is perp its slope will be -1 and plugging pt A(2,3) we can find eq of AB as y=-x+5
Intersection pt of AB and y=x is (2.5,2.5) and by symmetry we can say B is (3,2)
C is on the other side of B and equdistant from X axis
hence C is (3,-2)
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Director
Joined: 05 May 2004
Posts: 602
Location: San Jose, CA
Followers: 1
Kudos [?]:
10
[0], given: 0
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mirhaque wrote: In the rectangular coordinate below the line Y=X, is the perpendicular bisector of segment AB (Not Shown), and X axis is the oerpendicular bisector of segment BC (Not Shown). If coordinates point A are (2,3), what are the coordinate points of C?
PS: this is an OG question. Does anybody know where can I download a PDF version of OG? that way I don't have to draw all this diagram?
Ans (3,-2)
equation of orig line y=x
assume eq of line AB perp to y=x as y=mx+c
as this line is perp its slope will be -1 and plugging pt A(2,3) we can find eq of AB as y=-x+5
Intersection pt of AB and y=x is (2.5,2.5) and by symmetry we can say B is (3,2)
C is on the other side of B and equdistant from X axis
hence C is (3,-2)
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