The figure ABCD formed by points (2, 2), (7, 3), (5, 1) and (4, 1) is transformed to the image A'B'C'D' by the line of reflection x = 6. (Correct choice: A)
How to determine the equation of the line of reflection
In this question we need to derive the equation of the line of reflection associated with the transformation of the image ABCD to the image A'B'C'D'. Reflections are a kind of rigid transformation, that is, a transformation that conserves the Euclidean distance of every point of the figure.
A quick though efficient approach consists in graphing the points A, B, C, D, A', B', C' and D' and the we draw a vertical line such that the Euclidean distance of all points are conserved. In consequence, we conclude that the line of reflection is x = 6.
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