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9.4 ~ Angles formed by Secants & Tangents

9.4 ~ Angles formed by Secants & Tangents. Three cases to consider. How many different ways can you think of involving the intersection of two lines and a circle? The lines can be secants or tangents or one of each. (CASE 1). Vertex is ON the circle. 2 Secants. Secant & Tangent.

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9.4 ~ Angles formed by Secants & Tangents

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  1. 9.4 ~ Angles formed by Secants & Tangents

  2. Three cases to consider • How many different ways can you think of involving the intersection of two lines and a circle? • The lines can be secants or tangents or one of each.

  3. (CASE 1) • Vertex is ON the circle 2 Secants Secant & Tangent

  4. (CASE 2) • Vertex is IN the circle 2 Secants

  5. (CASE 3) • Vertex is OUT of the circle 2 Secants Secant & Tangent 2 Tangents

  6. Formulas • ON – Vertex is ON the circle • Angle = ½ Arc • IN – Vertex is IN the circle (not center) • Angle = ½ (Arc + Arc) • OUT – Vertex is OUT of the circle • Angle = ½ (Arc – Arc)

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