2020 CAMO Problems/Problem 4

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Problem 4

Let $ABC$ be a triangle and $Q$ a point on its circumcircle. Let $E$ and $F$ be the reflections of $Q$ over $\overline{AB}$ and $\overline{AC}$, respectively. Select points $X$ and $Y$ on line $EF$ such that $\overline{BX}\parallel\overline{AC}$ and $\overline{CY}\parallel\overline{AB}$, and let $M$ and $N$ be the reflections of $X$ and $Y$ over $B$ and $C$ respectively. Prove that $M$, $Q$, $N$ are collinear.

Solution

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See also

2020 CAMO (ProblemsResources)
Preceded by
Problem 1
Followed by
Problem 3
1 2 3 4 5 6
All CAMO Problems and Solutions

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