SOLUTION: Please help me with my proof. Given: DE || FG || HJ Prove: DF x GJ = FH x EG The diagram shows the three horizontal parallel lines being intersected by two vertical transver

Algebra ->  Geometry-proofs -> SOLUTION: Please help me with my proof. Given: DE || FG || HJ Prove: DF x GJ = FH x EG The diagram shows the three horizontal parallel lines being intersected by two vertical transver      Log On


   

Question 1019281: Please help me with my proof.
Given: DE || FG || HJ
Prove: DF x GJ = FH x EG
The diagram shows the three horizontal parallel lines being intersected by two vertical transversals, DH & EJ. DH, on the left, defines angles D, F & G while EJ, on the right, defines angles E, G & J.
Answer by ikleyn(52797) About Me  (Show Source):
You can put this solution on YOUR website!
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See the lesson Three parallel lines cut off proportional segments in any two transverse lines in this site.

You will find the proof of this property there:

      If three parallel lines are intersected by two transverse lines, then the ratio of the segment lengths they cut off
      in one transverse line is equal to the ratio of the segment lengths they cut off in the second transverse line.