   Chapter 6.CR, Problem 16CR Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section 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:

An angle inscribed in a semicircle is a right angle.

Calculation:

Given that

If a triangle is inscribed in a circle and one of its sides is a diameter, then the triangle is an isosceles triangle.

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

Also, let AD and AC are equal chords.

And BA and BD be unequal chords.

Since, an angle inscribed in a semicircle is a right angle...

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