Final Answer:
Triangle ABC is rotated 135 degrees about point S to create triangle A'B'C'.
Step-by-step explanation:
When a triangle is rotated about a point, each vertex of the original triangle moves along a circular arc centered at the point of rotation. In this case, triangle ABC is rotated 135 degrees about point S to create a new triangle, A'B'C'.
The prime notation (') denotes the new positions of the vertices after the rotation. The amount of rotation is specified as 135 degrees. This means that each vertex of the original triangle ABC is rotated 135 degrees in a counterclockwise direction around point S.
It's important to note that the rotation preserves the shape and size of the triangle; it simply repositions its vertices in a circular manner. The relationship between the corresponding sides and angles of the original and rotated triangles remains the same.
In summary, triangle ABC is rotated 135 degrees about point S to create triangle A'B'C'.