Answer: There are 4 possible translations
Explanation:
The preimage of polygon ABCD is a second image, polygon A' B' C' D', that is positioned to the right of the first image with all points in the same position.
To describe the transformations between the preimage and the second image, we can use the following terms:
1. Vertical translation: This transformation involves moving the entire figure up or down without changing its shape or orientation. If the second image is obtained by moving the preimage vertically, then it is a vertical translation. For example, if the second image is obtained by moving the preimage 3 units up, it would be a vertical translation of +3 units.
2. Horizontal translation: This transformation involves moving the entire figure left or right without changing its shape or orientation. If the second image is obtained by moving the preimage horizontally, then it is a horizontal translation. For example, if the second image is obtained by moving the preimage 2 units to the right, it would be a horizontal translation of +2 units.
3. Reflection across the x-axis: This transformation involves flipping the figure over the x-axis. If the second image is obtained by reflecting the preimage across the x-axis, then it is a reflection across the x-axis. This means that the corresponding points of the second image will have the same x-coordinates but opposite y-coordinates compared to the preimage.
4. 90° clockwise rotation: This transformation involves rotating the figure 90° in a clockwise direction. If the second image is obtained by rotating the preimage 90° clockwise, then it is a 90° clockwise rotation. This means that each point of the second image will be obtained by rotating the corresponding point of the preimage 90° clockwise around a central point.
These are the possible transformations that can be applied to obtain the second image from the preimage. The specific transformation used will depend on the given information or instructions.