Chapter 6.1, Problem 36E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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*In Exercises 32 to 37, write a paragraph proof.*

An angle inscribed in a semicircle is a right angle.

To determine

**To prove:**

The statement “An angle inscribed in a semicircle is a right angle”.

Explanation

**Given:**

The provided statement is “An angle inscribed in a semicircle is a right angle”.

**Theorem used:**

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

**Proof:**

Consider a circle with center *O.*

Let

Let *S* and *V* be the points in the circle as shown below.

From the figure, we see that

Also we see that

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