Chapter 6.CR, Problem 29CR

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

*In Review Exercises 27 to 29, give a proof for each statement.*

To determine

**To Prove: **

Explanation

**Concept:**

**Theorem 6.1.3:**

In a circle (or in congruent circles), congruent minor arcs have congruent central angles.

**Theorem 6.1.3:**

In a circle (or in congruent circles), congruent central angles have congruent minor arcs.

**Theorem 6.1.5:**

In a circle (or in congruent circles), congruent chords have congruent minor (major) arcs.

**Theorem 6.1.6:**

In a circle (or in congruent circles), congruent arcs have congruent chords.

**Theorem 6.1.7:**

Chords that are at the same distance from the center of a circle are congruent.

**Theorem 6.1.8:**

Congruent chords are located at the same distance from the center of a circle.

**Theorem 6.2.4:**

The measure of an angle formed by a tangent and a chord drawn to the point of tangency is one-half the measure of the intercepted arc.

**Theorem 6.3.4:**

The tangent segments to a circle from an external point are congruent.

**Calculation:**

Given

By **Theorem 6.3.4:**

The tangent segments to a circle from an external point are congruent.

So,

Since,

So,

By, **Theorem 6.1.6:**

In a circle (or in congruent circles), congruent arcs have congruent chords.

Because congruent chords,

**Theorem 6.1.3:**

In a circle (or in congruent circles), congruent minor arcs have congruent central angles.

Since,

By **Theorem 6**

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