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Apply Other Angle Relationships in Circles

Apply Other Angle Relationships in Circles. Lesson 10.5. Theorem 10.11. If a tangent and a chord intersect at a point on a circle, then. B. Angle 1 = ½(arcAB) Angle 2 = ½(arcBCA). C. 1. 2. A. Theorem 10.12 Angles Inside the Circle Theorem. Angle 1= ½(arcDC + arcAB) VERTICAL ANGLES

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Apply Other Angle Relationships in Circles

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  1. Apply Other Angle Relationships in Circles Lesson 10.5

  2. Theorem 10.11 If a tangent and a chord intersect at a point on a circle, then B Angle 1 = ½(arcAB) Angle 2 = ½(arcBCA) C 1 2 A

  3. Theorem 10.12Angles Inside the Circle Theorem Angle 1= ½(arcDC + arcAB) VERTICAL ANGLES Angle 2= ½(arcAD + arcBC) If two chords intersect inside a circle, then D A 1 2 C B

  4. Theorem 10.13Angles Outside the Circle Theorem If a tangent and a secant, two tangents, or two secants intersect outside a circle, then B Angle1 = ½(arcBC-arcAC) A 1 C

  5. Theorem 10.13Angles Outside the Circle Theorem Angle 2= ½(arcPQR-arcPR P 2 Q R

  6. Theorem 10.13Angles Outside the Circle Theorem X Angle 3 = ½(arcXY- arcWZ) W 3 Z Y

  7. Homework • 2-20even

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