2020 CAMO Problems/Problem 4

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

This problem needs a solution. If you have a solution for it, please help us out by adding it.

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

Page

Toolbox

Search

2020 CAMO Problems/Problem 4

Problem 4

Solution

See also