Question

Please help pic below similarity statement

Answer 1

The correct answer is triangle RST sim triangle RUS sim triangle SUT.
The three triangles are right triangles based on the diagram. We can then claim that the triangles are comparable by side-angle-side similarity since the respective legs of the three triangles are proportional.
The similarity statement can be written as:
Delta RST sim Delta RUS sim Delta SUT
This means that the three triangles have the same shape, but not necessarily the same size. The corresponding angles of the three triangles are equal, and the corresponding sides of the three triangles are proportional.