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In: Advanced Math

Please solve this with only transformations (I.E. Translation matrices, Reflection matrices, Rotation matrices. You need to...

Please solve this with only transformations (I.E. Translation matrices, Reflection matrices, Rotation matrices. You need to use matrices (linear algebra). Please only do this if you know what I mean when I say "transformations using matrices."

A 2-D polygon has the following vertices in (x, y): A (2, 1), B (1, 2), C (2, 3), D (3, 3), E (4, 2), and F (3, 1). The polygon is taken through a set of 3 transformations in the given order: 1. Reflection about the line x=4 2. Translation by -3 in x direction. 3. Rotation counter clockwise about the point (2.5, 2) by 180 degrees . Determine the final coordinates.

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