   Chapter 6.CR, Problem 35CR 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 ⊙ Q with ∆ A B Q and ∆ C D Q , m ∠ A B ^ > m ∠ C D ^ . Also, Q P ^ A B ^ a n d   Q R ^ C D ^ .a) How are A B and C D related?b) How are Q P and Q R related?c) How are m ∠ A and m ∠ C related? To determine

a)

To Find: How are AB and CD related?

Explanation

Theorem:

1) 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..

2) In a circle (or in congruent circles) containing two unequal chords, the chord nearer the center of the circle has the greater length.

3) In a circle (or in congruent circles) containing two unequal chords, the longer chord corresponds to the greater minor arc.

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

Calculation:

Given that In Q with ABQ and CDQ, m&#

To determine

b)

To Find: How are QP and QR related?

To determine

c)

To Find: How are mA and mC related?

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