Triange RED has vertices at (2, -2), (4,0), and the origin, respectively. Use rules of transformations to answer each of the items below. Be sure to answer in complete sentences, and when necessary, include your calculations. Model a scenario in which △RED is mapped onto its similar image △R'E'D' by an angle of rotation. In the model, describe the rotation as clockwise or counterclockwise, and include the angle of rotation.
Use the model created in question #1 to name the coordinates of △R'E'D'. Include the mathematical steps taken in the transformation mapping △RED onto △R'E'D'.
In two or more complete sentences, explain how undergoing an isometric transformation, such as an angular rotation, proves that △RED is similar to △R'E'D'.

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