A rigid transformation is one in which the distances between every pair of points is preserved
The sequence of transformation are;
A rotation followed by a translation upwards and to the left
The reason the above sequence of transformations are correct is as follows:
The description of the given trapezoids are;
Trapezoid A
Orientation; Rotated about the centroid, by approximately 90° clockwise
Position: To the right and below trapezoid B
Trapezoid B
Orientation; Rotated about the centroid, by approximately 30° clockwise
Position: To the left and above trapezoid A
Therefore, the sequence of transformations that takes trapezoid A to trapezoid B are;
1) Rotation: Rotate trapezoid A approximately 60° counterclockwise so as to have the same orientation of trapezoid A (30° above the horizontal)
2) Translation: Trapezoid A should be translated both;
Upwards to the same vertical elevation or level as trapezoid B
Towards the left to be at the same horizontal position as trapezoid B
Therefore, the sequence of transformation are;
An anticlockwise rotation and a translation upwards and to the left
Learn more about transformations here:
https://brainly.com/question/17174293
