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Elementary Geometry for College St...

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

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BuyFindarrow_forward

Elementary Geometry for College St...

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

Chapter 6.CR, Problem 35CR, In Q with ABQ and CDQ, mABmCD. Also, QPABandQRCD. a How are AB and CD related? b How are QP and QR

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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