In the accompanying diagram, three vertices of parallelogram ORST are O(0,0), R(b,d), and T (a,0). What are the coordinates of S
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Based on the coordinates of the vertices of the parallelogram ORST, the coordinates of S can be found to be (a + b, d).
As this is a parallelogram, the horizontal distance between O and R would be the same as the horizontal distance between S and T.
The horizontal distance between O and R is represented by "b".
The horizontal distance between T and S would therefore be:
= a + b
The fact that R and S are on the same plane would mean that the y-value of S is the same as that of R which is d.
The coordinates of S is:
( a + b, d).
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