△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 StartFraction S T Over Y X EndFraction

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Answer:

D. ST/YX

Step-by-step explanation:

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The ratio that is also equal to RT/RX and RS/RY given that △RST ~ △RYX by the SSS Similarity Theorem is: D. ST/YX

Recall:

  • SSS Similarity Theorem states that if the ratio of three corresponding side lengths of two triangles are equal, therefore the two triangles are similar to each other.

Given that △RST ~ △RYX by the SSS similarity theorem, therefore:

RS/RY = RT/RX = ST/YX

Therefore, the ratio that is also equal to RT/RX and RS/RY given that △RST ~ △RYX by the SSS Similarity Theorem is: D. ST/YX

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