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AMO 2018 – Secondary 3 (Grade 9) Question 3

AMO · AMO 2018 – Secondary 3 (Grade 9)

Question 3

The points $(0,1)$ and $(1,2)$ are adjacent vertices of a square. Find the sum of the $y$-coordinates of all possible vertices diagonally opposite $(0,1)$.

Source discrepancy: the supplied answer includes a square in which the given vertices are opposite, contrary to the word “adjacent”. Answer this question with the printed adjacency condition.

Question illustration