To determine the transformations that were made to triangle \( \triangle ABC \) to produce triangle \( \triangle XYZ \), we typically consider the following transformations:
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Translation: This involves moving the entire triangle to a different location on the plane without changing its shape or orientation.
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Rotation: This transformation involves turning the triangle around a fixed point (the center of rotation) by a certain angle.
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Reflection: This involves flipping the triangle over a line, which can be a vertical, horizontal, or diagonal line.
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Dilation: This transformation changes the size of the triangle while maintaining its shape, usually by a scale factor relative to a center point.
To identify the specific transformations that occurred to go from \( \triangle ABC \) to \( \triangle XYZ \), observe the corresponding vertices (e.g., points A, B, and C compared to points X, Y, and Z) and assess any changes in position, direction, size, or orientation.
You may also need to give precise coordinates of the vertices before and after the transformation to clarify how each point was moved or altered.
If you provide the coordinates or a visual representation of triangles \( \triangle ABC \) and \( \triangle XYZ \), I could help give a more detailed answer about the transformations involved.
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