Circle chord, tangent, and inscribed angles proofs

Circle chord, tangent, and inscribed angles proofs

Lessons

  • Introduction
    a)
    1. What is a chord?
    2. What is a tangent?


  • 1.
    Given: 2AC =AD, 2DF=DH Prove: \angleBEG = 90°
    use circle chord, tangent, and inscribed angles proofs to prove angles in a circle

  • 2.
    Given: AC is tangent at B, AC is parallel to DF Prove: arc BD = arc BF Given: 2AC =AD, 2DF=DH Prove: \angleBEG = 90°
    proving angles in a circle using circle chord, tangent, and inscribed angles proofs

  • 3.
    Given: EG is tangent at F, AB is parallel to CD Prove: \angleBAF = \angleDCF Given: 2AC =AD, 2DF=DH Prove: \angleBEG = 90°
    Circle chord, tangent, and inscribed angles proofs

  • 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: \angleBEG = 90°
    use circle chord, tangent, and inscribed angles proofs to prove tangent lines and angles