Respuesta :
Answer:
B. RY/RS=RX/RT=XY/TS
Step-by-step explanation:
In the picture attached, △RST and △RYX (which are similar) are shown
The options are:
- A. RY/YS=RX/XT=XY/TS
- B.RY/RS=RX/RT=XY/TS
- C.RY/RS=RX/RT=RS/RY
- D.RY/RX=RS/RT=XY/TS
Given that the triangles are similar, then their sides are proportional. Then, there is some constant k, which satisfies:
k*RS = RY
k*RT = RX
k*TS = XY
This can be rewritten as:
k = RY/RS = RX/RT = XY/TS

Since △RST and △RYX are similar triangles, the statement that must be true is:
B. RY/RS = RX/RT = XY/TS
Sides of Similar Triangles
- If two triangles are similar to each other, then, the ratio of their corresponding side lengths must be equal to each other.
Thus, △RST and △RYX are similar triangles.
- Therefore:
RY/RS = RX/RT = XY/TS
Therefore, since △RST and △RYX are similar triangles, the statement that must be true is:
B. RY/RS = RX/RT = XY/TS
Learn more about similar triangles on:
https://brainly.com/question/14285697