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posted by  veeta on 8/27/2008 3:28:30 PM  |  status: Live  

Geometry conjecture

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I have to make a conjecture out of this statement; however I have the "Then" statement  but I am having a difficult time developing the "If" statement. Please Help
 
If ______________________________________________, then these two segments are perpendicular because they are 90 degrees regardless of the size of the angles. 
 
Okay, I had to draw a convex quadrilateral ABCD and construct a square on each side of the quadrilateral using sketch pad.  Once I drew the convex quadrilateral and constructed the squares, I had to draw its two diagonals and construct the intersection of the diagonals.  After I drew the two diagonals and constructed the intersections, I connected C1 with C3 and C2 with C4.  Now these segments are related they are perpendicular and measure 90 degrees. 
 
Make a conjecture about this situation
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