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

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(52798)   (Show Source): You can put this solution on YOUR website!
.
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.

RELATED QUESTIONS
Write a two-column proof Given: G is between F and H Given: H is between G and J... (answered by THANApHD)

G-----H--------J----K (x+10)- (8) -(2x-4) Given: Line GH is congruent to line JK,... (answered by edjones)

Given DE = FG EG = GH Prove DG = FH and GIVE REASONS! Given QR = ST Prove QS =... (answered by toidayma)

Please help me with: Given line GH is congruent to line JK, GH = x + 10, HJ = 8, JK = 2x... (answered by solver91311)

given AD / AE = DF / EG = CF / BG prove DE || FG ||... (answered by tommyt3rd)

I am a 10th grade in geometry. Please help me with this proof. Given: rhombus ABCD,... (answered by Mathtut)

Please help me to solve this.. DEF is a triangle with angle EDF=2x°. Line DE and line DF (answered by CPhill)

GEOMETRIC PROOFS WITH ALGEBRA SOLVE GIVEN: FG=6X-21 FH=X+2 HG=3X-9 PROVE... (answered by Alan3354,ikleyn)

please help me solvethis problem: complete the following proof. Given: 2x+5=11 prove:... (answered by richard1234)