To determine what kind of translation has been made to triangle ABC, you would typically compare the original triangle (ABC) with the translated triangle (A'B'C'), examining the movement of its vertices.
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Type of Translation: Translations can be described in terms of their direction and distance. For example, if triangle ABC is moved from its original position to triangle A'B'C' such that each vertex shifts by a specific vector \((h, k)\), where \(h\) is the horizontal shift and \(k\) is the vertical shift, that would represent the translation.
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Vector Representation: If point A in triangle ABC was at coordinates \((x_1, y_1)\), after translation by the vector \((h, k)\), its new position A' would be at \((x_1 + h, y_1 + k)\). Similarly, you would apply this to points B and C.
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Analysis of Changes: Assess any changes in position and measure the distances between corresponding points. Ensure that triangle properties (like angles and side lengths) remain consistent before and after the translation, as translations do not alter these characteristics.
If you can provide specific coordinates or a description of how triangle ABC was altered, I can help you more specifically identify the translation that was made!