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| Question 409643:  In the diagram, three vertices of parallelogram ORST are O(0, 0), R(b, d), and T(a,0).  What are the coordinates of S?
 1.  (a, b)
 2.  (a, d)
 3.  (a + b, d)
 4.  (a + b, b)
 
 Answer by Edwin McCravy(20064)
      (Show Source): 
You can put this solution on YOUR website! In the diagram, three vertices of parallelogram ORST are O(0, 0), R(b, d), and T(a,0).  What are the coordinates of S? 
 
 Since T is a units to the right of O, then S must be a units to the
right of R.  R is b units to the right of the y-axis, so S must be
a more units to the right of the y-axis than R is, so S's x-coordinate
must be a more than R's x-coordinate, so we add b to R's x-coordinate
and get that S's x-coordinate is b+a.  Also S must be the same distance
above the x-axis as R is.  R is d units above the x-axis, so S's 
y-coordinate must be the same as R's y-coordinate, d.  So the coordinates
of point S are S(b+a,d).  Since b+a is the same as a+b, the correct choice is 3.
Edwin
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