Circle chord, tangent, and inscribed angles proofs

Lessons

• Introduction
  a)

  1. What is a chord?
  2. What is a tangent?
  
  

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• 1.
  Given: 2AC =AD, 2DF=DH Prove: $\angle$BEG = 90°
  

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• 2.
  Given: AC is tangent at B, AC is parallel to DF Prove: arc BD = arc BF Given: 2AC =AD, 2DF=DH Prove: $\angle$BEG = 90°
  

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• 3.
  Given: EG is tangent at F, AB is parallel to CD Prove: $\angle$BAF = $\angle$DCF Given: 2AC =AD, 2DF=DH Prove: $\angle$BEG = 90°
  

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• 4.
  Given: AF is tangent to circle X at D, CF is tangent to circle Y at E. DF tangent to both circles Prove: DF = EF Given: 2AC =AD, 2DF=DH Prove: $\angle$BEG = 90°
  

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