Explanation:
The type of transformation shown in the given image is a horizontal translation. This is because the second image, polygon A' B' C' D', is shifted to the right of the first image with all points maintaining the same position. In other words, each point in the second image is horizontally translated by a fixed distance from its corresponding point in the first image.
The other options can be ruled out as follows:
- Vertical translation: This would involve shifting the second image either up or down relative to the first image, which is not the case here.
- Reflection across the x-axis: This would involve flipping the second image upside down relative to the first image, which is not the case here.
- 90° clockwise rotation: This would involve rotating the second image by 90 degrees clockwise relative to the first image, which is not the case here.
Therefore, based on the given information, we can conclude that the type of transformation shown in the given image is a horizontal translation.