Prove d || d' in Figure with A = A' = 90

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SUMMARY

The discussion focuses on proving that lines d and d' are parallel in a geometric figure where angles A and A' are both 90 degrees. The key theorem utilized is that if corresponding angles formed by a transversal crossing two lines are congruent, then the lines are parallel. Additionally, the theorem regarding alternate interior angles also applies in this context. Participants are encouraged to apply these theorems to establish the parallelism of the lines.

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  • Understanding of parallel lines and transversals
  • Knowledge of corresponding angles theorem
  • Familiarity with alternate interior angles theorem
  • Basic geometry concepts including angles and lines
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  • Learn how to apply the corresponding angles theorem in proofs
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Behrooz
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hi,could u please help me with this Geometrical problem?
in this figure prove that : d||d'
Heres the figure:
as u see A=90 and so is A'
 

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What do you have to work with? That is, what theorems about parallel lines do you know and can use? For example do you know "If 'corresponding angles' formed by a transversal crossing two lines are congruent, then the lines are parallel"? Or "If 'alternate interior angles' formed by a transversal crossing to lines are congruent then the lines are parallel"? If you know those, then you should be able to apply one to this problem.
 

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