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MathNet 1989 — Part 01 Question 7

Math Olympiad Vault · MathNet 1989 — Part 01

Question 7

The triangle with vertices $(0, 0)$, $(0, 1)$, $(2, 0)$ is repeatedly reflected in the three lines $AB$, $BC$, $CA$ where $A$ is $(0, 0)$, $B$ is $(3, 0)$, $C$ is $(0, 3)$. Show that one of the images has vertices $(24, 36)$, $(24, 37)$ and $(26, 36)$.