Hidden Similarity

Geometry Level 1

The points A,B,CA, B, C and D D are ordered clockwise on a circle.

MM and N N are the midpoints of ADAD and BC BC, respectively.

II is the intersection of ACAC and BDBD.

XX and Y Y, are perpendiculars on ABAB and CDCD respectively, which pass through II.

Is MXNYMXNY always a kite?

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