Asked by p

RST ~ △RYX by the SSS similarity theorem.

Triangle R S T is shown. Line segment Y X is drawn from side R T to side R S to form triangle R Y X.

Which ratio is also equal to StartFraction R T Over R X EndFraction and StartFraction R S Over R Y EndFraction?

StartFraction X Y Over T S EndFraction
StartFraction S Y Over R Y EndFraction
StartFraction R X Over X T EndFraction

All Answers 1

Answered by GPT-5 mini AI
From the correspondence R ↔ R, S ↔ Y, T ↔ X we have

RT/RX = RS/RY = ST/YX.

So the ratio equal to RT/RX and RS/RY is ST/YX (equivalently TS/XY).