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Math
GeometryElementary Geometry for College Students6th Edition

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Chapter 6.4, Problem 6E
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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

Solutions

Chapter
Section
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem

In Exercises 1 to 8, use the figure provided.

If m ∠ C Q D < m ∠ A Q B , write an inequality that compares Q M to Q N .

To determine

To write:

An inequality that compares QM to QN.

Explanation

Given:

m∠CQD<m∠AQB and the figure given below

Theorem:

In a circle (or in congruent circles) containing two unequal central angles, the larger angle corresponds to the larger intercepted arc.

In a circle (or in congruent circles) containing two unequal chords, the shorter chord is at the greater distance from the center of the circle.

In a circle (or in congruent circles) containing two unequal minor arcs, the greater minor arc corresponds to the longer of the chords related to these arcs.

Calculation:

Using the theorem.

Since the angles are unequal i.e. m∠CQD<m∠AQB and from the given figure

The arc corresponding to angle m∠CQD is mCD⌢ and the arc corresponding to angle m∠AQB is mAB⌢, we conclude that mCD⌢<mAB⌢.

Now applying the theorem:

And since the arcs are unequal i.e. mCD⌢<mAB⌢ and from the given figure

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Chapter 6.4,
Problem 5E
Chapter 6.4,
Problem 7E
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Chapter 6 Solutions

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Sect-6.1 P-1ESect-6.1 P-2ESect-6.1 P-3ESect-6.1 P-4ESect-6.1 P-5ESect-6.1 P-6ESect-6.1 P-7ESect-6.1 P-8ESect-6.1 P-9ESect-6.1 P-10E
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