MathDB

Let

\Delta_0

be an equilateral triangle with incircle

\omega

. A point on

\omega

is reflected in the sides of

\Delta_0

to obtain a new triangle

\Delta_1

. The same point is then reflected over the sides of

\Delta_1

to obtain another triangle

\Delta_2

. Prove that the circumcircle of

\Delta_2

is tangent to

\omega

.
Proposed by Siddharth Choppara

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