Answer :
The series of transformations that would map Figure D onto Figure E is a reflection across the y-axis followed by a rotation of 180 degrees clockwise.
The series of transformations that would map Figure D onto Figure E is:
1. Reflection across the y-axis: This will flip Figure D across the vertical midline.
2. Rotation of 180 degrees clockwise: This will rotate the reflected Figure D 180 degrees around the origin.
Alternatively, we could achieve the same result with a single transformation:
Rotation of 90 degrees counterclockwise followed by a reflection across the x-axis: This will first rotate Figure D 90 degrees counterclockwise and then flip it across the horizontal midline.
The key is to identify the key features of the two figures and the changes that need to be made to transform one into the other.
In this case, we need to flip Figure D horizontally and then rotate it 180 degrees (or 90 degrees counterclockwise and flip it vertically) to get Figure E.
