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Old 08-27-2005, 12:38 AM   #10
gcf101
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Join Date: Jun 2005
Location: Northeast
Posts: 1,165
#11: riding my "visualisation horse" again

Making a drawing first and taking a question in visually often helps to avoid long calculations and associated with them mistakes.

The origin - point O (0, 0).
AO = BO = 2 ==> triangle AOB is isosceles,
Perpendicular to the middle of its base AB is also a bisector of <AOB.
In other words, L is a line of symmetry for AOB.
Don't be afraid of the "s"-word; check out this cool site
http://regentsprep.org/Regents/math/...ry/Lsymmet.htm .

Line L is a bisector of the first quadrant, and its equation is
y = x,
so all the points on line L have equal coordinates of type (n, n).

Answer D (3, 3) is the correct one.

+++++++++++++++

RE: overlapping.
How many nonoverlapping triangles are formed in a square when its diagonals are drawn?
Four.
Now, how many triangles are formed in a square when its diagonals are drawn?
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