To determine the correct translation of triangle ABC, you would need the original coordinates of the triangle's vertices and the coordinates of the translated triangle's vertices. Here’s how you can analyze the options provided:
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Option A: Triangle ABC has been translated 2 units to the right and 7 units down.
- This means if the original coordinates were \((x, y)\), the new coordinates would be \((x + 2, y - 7)\).
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Option B: Triangle ABC has been translated 3 units to the right and 6 units down.
- New coordinates would be \((x + 3, y - 6)\).
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Option C: Triangle ABC has been translated 3 units to the right and 7 units down.
- New coordinates would be \((x + 3, y - 7)\).
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Option D: Triangle ABC has been translated 3 units to the left and 7 units up.
- New coordinates would be \((x - 3, y + 7)\).
After determining the original and new coordinates, you can match the translation with one of the options. If you don't have the coordinates, you can use a visual representation of the triangles to evaluate the translation.
If you provide the original and new coordinates, I can help you identify which translation is correct!