Proving PS/PQ = TX/XR in ΔPQR with Parallel Lines

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Homework Help Overview

The problem involves proving a relationship between segments in triangle ΔPQR, specifically showing that PS / PQ = TX / XR, given a line drawn parallel to QR that intersects PQ and PR. The context is geometric relationships and properties of parallel lines.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants express difficulty in achieving the desired proof and suggest that the question may be faulty. There is a mention of an alternative result that some participants have reached, which raises questions about the validity of the original statement.

Discussion Status

The discussion reflects uncertainty, with participants sharing similar results and questioning the problem's setup. There is acknowledgment of the challenge posed by the geometry involved, and some participants express relief at recognizing their understanding of the concepts.

Contextual Notes

Participants note a potential issue with the question itself, indicating that it may not be framed correctly, which could affect their ability to prove the statement as intended.

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Homework Statement


At ΔPQR, a line is drawn parallel to QR, cuts PQ at S and PR at T. Line SR and QT intersect at X. Show that PS / PQ = TX / XR


Homework Equations





The Attempt at a Solution


I can not achieve that proof. The best I can get is : PS / PQ = TX / XQ. Something wrong with me or the question?
 
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I also got your result. I'm placing my bets on the faulty question :smile:
 
Mentallic said:
I also got your result. I'm placing my bets on the faulty question :smile:

OK. Thanks a bunch !
 
No worries. It's nice to see you actually know how to do this question, you have no idea how many high school students (even in year 12) getting nowhere in this kind of geometry.
 

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