# Circle chord, tangent, and inscribed angles proofs

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