Final answer:
A series of transformations such as translation, rotation, reflection, or scaling could take triangle STU to triangle GHJ, but further details are necessary to specify the exact transformations required.
Step-by-step explanation:
To write a series of transformations that takes triangle STU to triangle GHJ, we have to apply a combination of basic geometric transformations such as translation, rotation, reflection, or scaling (dilation). However, without an image or further description of the positions and sizes of the triangles, we can only explain the general types of transformations.
Translation
A translation moves every point of a figure the same distance in the same direction.
Rotation
A rotation turns a figure about a fixed point called the center of rotation.
Reflection
A reflection flips a figure over a line called the line of reflection.
Scaling (Dilation)
A scaling, or dilation, changes the size of a figure without altering its shape.
To determine the precise transformations, one would require further information such as the orientation, size, position of triangles STU and GHJ, and the correlation between corresponding vertices.