If the triangles are similar, which must be true? -

RY

YS

RX _ XY

XT TS

1

RY

RS

RX

RT

XY

TS

2 회

RY

RS

III

RX

RT

RS

RY

RY

RX

RS

RT

=

TS

Since △RST and △RYX are similar triangles, the statement that must be true is:

B. RY/RS = RX/RT = XY/TS

Thus, △RST and △RYX  are similar triangles.

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:

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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:

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

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