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Question
reflection, then rotation
reflection, then translation
rotation, then translation
rotation, then reflection
Step1: Analyze transformation from 1 to 2
First, observe that from figure 1 to figure 2, the orientation of the triangle changes in a way that is consistent with a reflection. There is no change in the position relative to the grid in terms of sliding, so no translation is involved in going from 1 to 2.
Step2: Analyze transformation from 2 to 3
Then, when going from figure 2 to figure 3, the position of the triangle on the grid changes without any change in its orientation relative to the axes of the grid. This is a translation. There is no rotation as the angles of the triangle relative to the grid - axes do not change.
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reflection, then translation