To determine the type of transformation shown between polygon ABCD and polygon A'B'C'D', I will describe how to analyze the image (which I cannot see but can guide you through).
-
Vertical Translation: Check if the two polygons are identical in shape and size but have shifted up or down along the y-axis. If all vertices of the first polygon move vertically by the same amount, it's a vertical translation.
-
Reflection across the x-axis: Check if the original polygon ABCD is reflected over the x-axis to form A'B'C'D'. This would mean that if a point (x, y) in ABCD is transformed into (x, -y) in A'B'C'D', then it is a reflection.
-
180° Counterclockwise Rotation: Determine if the original polygon has rotated around a point (usually the origin) by 180 degrees. In this case, a point (x, y) would transform to (-x, -y).
-
Horizontal Translation: Look for a horizontal shift where all the vertices of the polygon have moved left or right along the x-axis by the same amount.
After you have analyzed the image based on the above points, you should be able to conclude the type of transformation that has occurred. If you can describe the positions or coordinates of the vertices before and after the transformation, I would be able to help you identify it more specifically.