Why do we need Homogeneous Coordinate System for transformation? Assume that a triangle ABC has the coordinates A(0, 0), B(10,10), C(10,2). Find the transformed coordinates when the triangle ABC is subjected to the counter-clockwise rotation of 30° about the origin and then translate by 2 units in x-direction and 4 units in y-direction. You should represent the transformation using Homogeneous Coordinate System.

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