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Old 01-04-2008, 06:41 PM   #31
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Join Date: Jul 2007
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Hello, I couldn't find this problem anywhere else and the studyhall site had confusing page numbers.

10 Real Sat 3rd Edition
Sunday May 2000
Section 7, Question #4
pg. 592

[figure of square ABCD marked with diagonals BD and AC, which go through point P in the middle]

The figure above shows a square and five labeled points. What is the least number of these five points that need to be moved so that all five points lie on the same circle?

a) one
b) two
c) three
d) four
e) five

I don't understand the question--what kind of circle are they asking about? Does it have to be inscribed within the square? If there are no restrictions concerning the circle, I thought the answer could be anything, since you could just draw a big one over all the points and not have to move any at all.

Anyway, the book says the answer is (a).
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Old 01-12-2008, 12:56 AM   #32
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Bump. Please help!
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Old 01-24-2008, 07:18 PM   #33
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I think I know why that is, but not completely sure. You can draw a circle around any square. The points A,B,C,D are all on the same circle(I guess the word would be tangent). The only point you need to worry about is P. So the only point you need to move is P. Hence, the answer is A)1.
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