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Published byBrendan Cobb Modified over 9 years ago
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Geometry Section 10.4 Angles Formed by Secants and Tangents
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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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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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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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Theorem 10.12: If a chord and a tangent intersect at a point on the circle, then the measure of the angle formed is equal to ½ the measure of the intercepted arc.
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III. Vertex inside the circle
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Theorem 10.13: 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.
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IV. Vertex outside the circle
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Theorem The 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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