To determine the sequence of rigid transformations that maps \( ABCD \) to \( A"B"C"D" \), we need to analyze the types of transformations:
- Reflection: This transformation flips the shape over a line.
- Translation: This shifts the shape without changing its orientation.
- Rotation: This turns the shape around a point by a certain angle.
Without the image, I can guide you through the thought process:
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Reflection: Check if there is a reflection across either the x-axis, y-axis, or some line that might map A to A" (similarly for B, C, D).
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Translation: If the shape is the same, but in a different position, this requires shifting it by specific amounts horizontally or vertically.
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Combination: Sometimes, a combination of transformations, like reflecting followed by translating, might be necessary.
Given the options you provided, analyze each transformation's effect on the points:
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(x,y) → (−x−4,y): This performs a reflection across the y-axis and then translates left by 4.
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(x,y) → (x,y+4): This just translates up by 4.
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(x,y) → (x,−y−4): This reflects across the x-axis and translates down by 4.
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(x,y) → (−x,y−4): This reflects across the y-axis and translates down by 4.
Select the option that matches the transformation from \( ABCD \) to \( A"B"C"D" \). Look for evidence of vertical/horizontal shifts and whether reflection occurred.
If you can provide more details or context from the image, I would be able to help identify the specific transformation more precisely.