To determine the correct sequence of transformations that were performed on figure ABCD to produce figure WXYZ, we need to analyze the rigid transformations involved: translation (shifting) and rotation.
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Translation: Shifting 3 units to the left means subtracting 3 from the x-coordinates. Shifting 5 units up means adding 5 to the y-coordinates.
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Rotation: A rotation of 90° counterclockwise moves the points such that if (x, y) becomes (-y, x). Conversely, a rotation of -90° (or 270° counterclockwise) would move points such that (x, y) becomes (y, -x).
To make the correct choice, we would need to:
- Identify the initial coordinates of ABCD.
- Apply the shifts and rotations to see which one results in coordinates that match those of WXYZ.
Since I cannot see the actual image or the coordinates involved, I will guide you in how to approach it logically. You should:
- Calculate or verify the effect of each listed transformation both in terms of shifts and the coordinate changes caused by the rotations.
- Match the transformed coordinates to those of WXYZ.
Given the options you've provided, it would typically involve a combination of calculations to see which sequence of transformations accurately moves ABCD to WXYZ based on their coordinates.
If you have the coordinates of both figures or any additional information on their positions, you can run through the transformations systematically to see which option holds true.
Given this information and general practice, the correct response is likely: "ABCD was first shifted 3 units to the left and 5 units up, then rotated -90° (clockwise)."
This option most accurately describes the typical sequence where a shift is followed by a rotation.
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