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Geometry Honors Section 9.4 Angles Formed by Secants and Tangents

Geometry Honors Section 9.4 Angles Formed by Secants and Tangents. The location of an angle’s vertex determines the relationship between the angle and its intercepted arcs. I . Vertex at the II . Vertex on the circle center .

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Geometry Honors Section 9.4 Angles Formed by Secants and Tangents

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  1. Geometry Honors Section 9.4Angles Formed by Secants and Tangents

  2. The location of an angle’s vertex determines the relationship between the angle and its intercepted arcs.I. Vertex at the II. Vertex on the circle center

  3. The location of an angle’s vertex determines the relationship between the angle and its intercepted arcs.I. Vertex at the II. Vertex on the circle center

  4. The location of an angle’s vertex determines the relationship between the angle and its intercepted arcs.I. Vertex at the II. Vertex on the circle center

  5. III. Vertex inside the circle

  6. Theorem: The measure of an angle formed by two chords that intersect inside a circle is equal to ½ the sum of the two arcs intercepted by the angle and its vertical angle.

  7. IV. Vertex outside the circle

  8. TheoremThe measure of an angle formed by two lines that intersect outside a circle is equal to ½ the difference of the two intercepted arcs.

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