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Math
GeometryElementary Geometry for College Students6th Edition

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Chapter 6.CR, Problem 17CR
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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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In Review Exercises 15 to 22, state whether the statements are always true (A), sometimes true (S), or never true (N).

If a central angle and an inscribed angle of a circle intercept the same arc, then they are congruent.

To determine

To state: Whether the statement is always true (A), sometimes true (S), or never true (N).

Explanation

Theorem:

The measure of an inscribed angle of a circle is one-half the measure of its intercepted arc.

Calculation:

Given that

If a central angle and an inscribed angle of a circle intercept the same arc, then they are congruent.

Let O be the center of the circle and AB be chord.

Also, ∠AOB is central angle intercept by the AB^.

∠ACB is angle inscribed by the AB^

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Sect-6.1 P-1ESect-6.1 P-2ESect-6.1 P-3ESect-6.1 P-4ESect-6.1 P-5ESect-6.1 P-6ESect-6.1 P-7ESect-6.1 P-8ESect-6.1 P-9ESect-6.1 P-10E
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