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Unformatted text preview: 146 Congruent Arcs
A) Definition a. In the same circle, or in congruent circles, two arcs are called congruent if they have the same measure Theorem 1417 a. In the same circle or in congruent circles, if two chords are congruent, then so are the corresponding minor arcs B) C) Theorem 1418 a. In the same circle or in congruent circles, if two arcs are congruent, then so are the corresponding chords D) Theorem 1419 a. Given an angle with its vertex on a circle, formed by a secant ray and a tangent ray. The measure of the angle is half the measure of the intercepted arc Example) E) Proof (number 10 from homework) a. The measure of an angle formed by two secants of a circle intersecting at a point in the interior of the circle is one half the sum of the measures of the arcs intercepted by the angle and its vertical angle F) Example)
a. G) Proof (number 12 from the homework) a. The measure of an angle formed by two secants of a circle intersecting at a point in the exterior of the circle is one half the absolute value of the difference of the measures of the intercepted arcs b. Example ...
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This note was uploaded on 05/16/2011 for the course ALGEBRA 098 taught by Professor Johnson during the Spring '09 term at Grand Valley State.
 Spring '09
 Johnson
 Algebra

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