Mathematics, 04.05.2021 20:50, Bryson2148

The preimage ∆ABC has points at A(2,-2), B(5,-4), and C(1,-6) and is dilated by a certain scale factor from a certain center of dilation. The image of ∆A'B'C' has points at A'(-6,8), B'(3,2), and C'(-9,-4). Use only algebraic reasoning (NO GRAPHING) to find the coordinates of the center of dilation. Show all work used below and provide a complete written justification for your answer. Explain why.

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The preimage ∆ABC has points at A(2,-2), B(5,-4), and C(1,-6) and is dilated by a certain scale fact...