To determine the type of transformation between polygon ABCD and polygon A'B'C'D', you will need to observe the relative positions and orientations of the two polygons.
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Horizontal Translation: If the second polygon appears shifted to the left or right, maintaining the same shape and orientation, it would be a horizontal translation.
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Vertical Translation: If the second polygon appears shifted upward or downward, keeping the same shape and orientation, it would be a vertical translation.
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Reflection across the y-axis: If the second polygon is a mirror image of the first polygon across the y-axis, then it would be a reflection across the y-axis.
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270° Counterclockwise Rotation: If the second polygon appears to be rotated counterclockwise by 270 degrees (which is equivalent to 90 degrees clockwise), it will show a change in orientation while maintaining the same shape and size.
Without the actual image, you'll need to analyze the position and orientation of the two polygons. Look for the characteristics mentioned above to identify the correct transformation.