Chapter 6.3, Problem 11E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

*In the figure for Exercises 7 to 16, O is the center of the circle. See Theorem 6.3.5.*

*Given:*

*Find: CB.*

To determine

**To find:**

To find *CB*.

Explanation

Given that

The diagrammatic representation is given below,

**Theorems:**

1. If two chords intersect within a circle, then the product of the lengths of the segments (parts) of one chord is equal to the product of the lengths of the segments of the other chord. Now compare the triangles

2. If two inscribed angles intercept the same arc, then these angles congruent. By using the above theorem **Vertical angles** are congruent to each other. (The **angles** that are opposite to each other are **vertical angles**)

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