If is a point on side of such that and , and is on such that and , which statement is true?

Answer and explanation

Correct answer: C. and

  1. Step 1: Check proportionality: and .
  2. Step 2: Since , by converse of BPT, .
  3. Step 3: Scale factor: , so $\triangle PST \sim \triangle PQR$ with ratio , meaning .
Answer
and .
Why not the others: uses instead of ; cannot be perpendicular or intersecting since it is parallel.

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