To determine the type of transformation between polygon ABCD and polygon A'B'C'D', we typically consider the following:
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Horizontal Translation: If the shapes are exactly the same, but one has simply been moved left or right, it’s a horizontal translation.
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Vertical Translation: If one polygon has been moved up or down without changing its orientation or shape, it’s a vertical translation.
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Reflection across the y-axis: If the shape has been flipped over the y-axis, with points mirrored over the y-axis, then it is a reflection across the y-axis.
Without actually seeing the image, I'd recommend checking the positions of the corresponding points.
- If the figure has simply moved left/right (holding its orientation), select Horizontal translation.
- If it has moved up/down (holding its orientation), select Vertical translation.
- If it appears that the figure is a mirror image on the opposite side of the y-axis, select Reflection across the y-axis.
If you can provide a description or details about the positions of the points, I can help you identify the transformation type more specifically!