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2022 MMATHS Individual p2 - hexagon area , reflections of vertices wrt vertices

Source:

October 1, 2023
geometryreflectionareaMMATHS

Problem Statement

Triangle ABCABC has AB=3AB = 3, BC=4BC = 4, and CA=5CA = 5. Points DD, EE, FF, GG, HH, and II are the reflections of AA over BB, BB over AA, BB over CC, CC over BB, CC over AA, and AA over CC, respectively. Find the area of hexagon EFIDGHEFIDGH.