Question

If the triangles are similar, which must be true?

Answer 1

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