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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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Section
BuyFindarrow_forward

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

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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