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geometry intermediate

Problem

Three vertices of parallelogram are with and diagonally opposite. The sum of the coordinates of vertex is:
(A)
(B)
(C)
(D)
(E)
Solution
Graph the three points on the coordinate grid. Noting that the opposite sides of a parallelogram are congruent and parallel, count boxes to find out that point is on . The sum of the x-coordinates and y-coordinates is , so the answer is .
Final answer
E