To determine the transformations that moved triangle ABC to triangle XYZ, we would typically analyze their positions, orientations, and sizes on a coordinate plane. However, since I don't have specific information about the locations of triangles ABC and XYZ, I can only provide a general approach to how you would identify the transformations.
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Identify any translations: Check if triangle XYZ is simply a shifted version of triangle ABC. This would involve measuring the distances between corresponding points.
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Determine rotations: If the orientation of triangle XYZ is different from that of triangle ABC, calculate the angle and direction of the rotation by comparing the orientation of corresponding points.
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Check for reflections: Evaluate if triangle XYZ is a mirror image of triangle ABC by identifying if one triangle is flipped over a certain line.
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Looking for dilations: If the two triangles have different sizes, see if one is a scaled version of the other (which could involve a factor).
Once these transformations are assessed, you would be able to state the transformations completed (such as reflects, rotates, translates, etc.) and the specific details (e.g., "rotated by 90 degrees" or "translated 5 units to the right").
If you provide the coordinates or a description of the triangles, I could help you identify the specific transformations!
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