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Math Prize 2010 Problem 10

Source:

November 14, 2010
analytic geometrygeometrygeometric transformationcongruent triangles

Problem Statement

The triangle ABCABC lies on the coordinate plane. The midpoint of AB‾\overline{AB} has coordinates (−16,−63)(-16, -63), the midpoint of AC‾\overline{AC} has coordinates (13,50)(13, 50), and the midpoint of BC‾\overline{BC} has coordinates (6,−85)(6, -85). What are the coordinates of point AA?
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