Hidden Similarity

Geometry Level 1

The points \(A, B, C\) and \( D\) are ordered clockwise on a circle.

\(M\) and \( N\) are the midpoints of \(AD\) and \( BC\), respectively.

\(I\) is the intersection of \(AC\) and \(BD\).

\(X \) and \( Y\), are perpendiculars on \(AB\) and \(CD\) respectively, which pass through \(I\).

Is \(MXNY \) always a kite?


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