Geometry, Student Edition
Geometry, Student Edition
1st Edition
ISBN: 9780078884849
Author: McGraw-Hill, McGraw Hill
Publisher: Glencoe/McGraw-Hill School Pub Co
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Question
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Chapter 10.4, Problem 41PPS

(a)

To determine

To draw: With help of compass draw a circle.

(a)

Expert Solution
Check Mark

Explanation of Solution

Given information: The chords of a circle are AB¯&CD¯ . And segment is AD¯ .

Sketch: We draw a circle with parallel chords AB¯&CD¯ using a compass. After that we join A and D.

  Geometry, Student Edition, Chapter 10.4, Problem 41PPS , additional homework tip  1

(b)

To determine

To find: The measures of angles A&D , determine mAC and mBD and truth about these arcs.

(b)

Expert Solution
Check Mark

Answer to Problem 41PPS

The measures of the angles and arcs are given below.

  ADC=40°BAD=40°mAC=80mBD=80

Explanation of Solution

Given information: The diagram of the circle is taken from part (a).

  Geometry, Student Edition, Chapter 10.4, Problem 41PPS , additional homework tip  2

Calculation: We use a compass to measure the angle and arcs.

  ADC=40°BAD=40°mAC=80mBD=80

The arcs AC and BD are have equal measures, so they are congruent.

(c)

To determine

To find: The result obtained when the arcs of circles are cut by two parallel chords.

(c)

Expert Solution
Check Mark

Answer to Problem 41PPS

The measures of the angles and arcs are given below.

  ADC=47°BAD=47°mAC=94mBD=94

Explanation of Solution

Given information: The arcs of circle are cut by its two chords.

Calculation: According to the question we repeat the steps of part (a) and (b).

  Geometry, Student Edition, Chapter 10.4, Problem 41PPS , additional homework tip  3

We use a compass to measure the angle and arcs. We get,

  ADC=47°BAD=47°mAC=94mBD=94

The arcs of circle are congruent when they cut by two parallel chords.

(d)

To determine

To find: The measures of the arcs and mPR and mQS .

(d)

Expert Solution
Check Mark

Answer to Problem 41PPS

The measures arcs are given below.

  mPR=70mQS=70

Explanation of Solution

Given information: The following figure is been given.

  Geometry, Student Edition, Chapter 10.4, Problem 41PPS , additional homework tip  4

Calculation: Finding x using the conjecture in part (c),

  6x26=4x+66x264x=4x+64x2x26=62x26+26=6+262x=32x=16

Now, substitute the value of x to get the value of mPR and mQS ,

  mPR=4×16+6=70mQS=4×16+6=70

Chapter 10 Solutions

Geometry, Student Edition

Ch. 10.1 - Prob. 2CYUCh. 10.1 - Prob. 3CYUCh. 10.1 - Prob. 4CYUCh. 10.1 - Prob. 5CYUCh. 10.1 - Prob. 6CYUCh. 10.1 - Prob. 7CYUCh. 10.1 - Prob. 8CYUCh. 10.1 - Prob. 9CYUCh. 10.1 - Prob. 10PPSCh. 10.1 - Prob. 11PPSCh. 10.1 - Prob. 12PPSCh. 10.1 - Prob. 13PPSCh. 10.1 - Prob. 14PPSCh. 10.1 - Prob. 15PPSCh. 10.1 - Prob. 16PPSCh. 10.1 - Prob. 17PPSCh. 10.1 - Prob. 18PPSCh. 10.1 - Prob. 19PPSCh. 10.1 - Prob. 20PPSCh. 10.1 - Prob. 21PPSCh. 10.1 - Prob. 22PPSCh. 10.1 - Prob. 23PPSCh. 10.1 - Prob. 24PPSCh. 10.1 - Prob. 25PPSCh. 10.1 - Prob. 26PPSCh. 10.1 - Prob. 27PPSCh. 10.1 - Prob. 28PPSCh. 10.1 - Prob. 29PPSCh. 10.1 - Prob. 30PPSCh. 10.1 - Prob. 31PPSCh. 10.1 - Prob. 32PPSCh. 10.1 - Prob. 33PPSCh. 10.1 - Prob. 34PPSCh. 10.1 - Prob. 35PPSCh. 10.1 - Prob. 36PPSCh. 10.1 - Prob. 37PPSCh. 10.1 - Prob. 38PPSCh. 10.1 - Prob. 39PPSCh. 10.1 - Prob. 40PPSCh. 10.1 - Prob. 41PPSCh. 10.1 - Prob. 42PPSCh. 10.1 - Prob. 43PPSCh. 10.1 - Prob. 44PPSCh. 10.1 - Prob. 45PPSCh. 10.1 - Prob. 46PPSCh. 10.1 - Prob. 47PPSCh. 10.1 - 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Prob. 11CYUCh. 10.2 - Prob. 12PPSCh. 10.2 - Prob. 13PPSCh. 10.2 - Prob. 14PPSCh. 10.2 - Prob. 15PPSCh. 10.2 - Prob. 16PPSCh. 10.2 - Prob. 17PPSCh. 10.2 - Prob. 18PPSCh. 10.2 - Prob. 19PPSCh. 10.2 - Prob. 20PPSCh. 10.2 - Prob. 21PPSCh. 10.2 - Prob. 22PPSCh. 10.2 - Prob. 23PPSCh. 10.2 - Prob. 24PPSCh. 10.2 - Prob. 25PPSCh. 10.2 - Prob. 26PPSCh. 10.2 - Prob. 27PPSCh. 10.2 - Prob. 28PPSCh. 10.2 - Prob. 29PPSCh. 10.2 - Prob. 30PPSCh. 10.2 - Prob. 31PPSCh. 10.2 - Prob. 32PPSCh. 10.2 - Prob. 33PPSCh. 10.2 - Prob. 34PPSCh. 10.2 - Prob. 35PPSCh. 10.2 - Prob. 36PPSCh. 10.2 - Prob. 37PPSCh. 10.2 - Prob. 38PPSCh. 10.2 - Prob. 39PPSCh. 10.2 - Prob. 40PPSCh. 10.2 - Prob. 41PPSCh. 10.2 - Prob. 42PPSCh. 10.2 - Prob. 43PPSCh. 10.2 - Prob. 44PPSCh. 10.2 - Prob. 45PPSCh. 10.2 - Prob. 46PPSCh. 10.2 - Prob. 47PPSCh. 10.2 - Prob. 48PPSCh. 10.2 - Prob. 49PPSCh. 10.2 - Prob. 50PPSCh. 10.2 - Prob. 51PPSCh. 10.2 - Prob. 52PPSCh. 10.2 - Prob. 53PPSCh. 10.2 - Prob. 55HPCh. 10.2 - Prob. 56HPCh. 10.2 - Prob. 57HPCh. 10.2 - 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Prob. 58SPRCh. 10.4 - Prob. 59SPRCh. 10.4 - Prob. 60SPRCh. 10.4 - Prob. 61SPRCh. 10.4 - Prob. 62SPRCh. 10.4 - Prob. 63SRCh. 10.4 - Prob. 64SRCh. 10.4 - Prob. 65SRCh. 10.4 - Prob. 66SRCh. 10.5 - Prob. 1ACYPCh. 10.5 - Prob. 1BCYPCh. 10.5 - Prob. 2CYPCh. 10.5 - Prob. 3ACYPCh. 10.5 - Prob. 3BCYPCh. 10.5 - Prob. 4ACYPCh. 10.5 - Prob. 4BCYPCh. 10.5 - Prob. 5CYPCh. 10.5 - Prob. 1CYUCh. 10.5 - Prob. 2CYUCh. 10.5 - Prob. 3CYUCh. 10.5 - Prob. 4CYUCh. 10.5 - Prob. 5CYUCh. 10.5 - Prob. 6CYUCh. 10.5 - Prob. 7CYUCh. 10.5 - Prob. 8CYUCh. 10.5 - Prob. 9PPSCh. 10.5 - Prob. 10PPSCh. 10.5 - Prob. 11PPSCh. 10.5 - Prob. 12PPSCh. 10.5 - Prob. 13PPSCh. 10.5 - Prob. 14PPSCh. 10.5 - Prob. 15PPSCh. 10.5 - Prob. 16PPSCh. 10.5 - Prob. 17PPSCh. 10.5 - Prob. 18PPSCh. 10.5 - Prob. 19PPSCh. 10.5 - Prob. 20PPSCh. 10.5 - Prob. 21PPSCh. 10.5 - Prob. 22PPSCh. 10.5 - Prob. 23PPSCh. 10.5 - Prob. 24PPSCh. 10.5 - Prob. 25PPSCh. 10.5 - Prob. 26PPSCh. 10.5 - Prob. 27PPSCh. 10.5 - Prob. 28PPSCh. 10.5 - Prob. 29PPSCh. 10.5 - Prob. 30PPSCh. 10.5 - Prob. 31PPSCh. 10.5 - Prob. 32PPSCh. 10.5 - Prob. 33PPSCh. 10.5 - Prob. 34PPSCh. 10.5 - Prob. 35HPCh. 10.5 - Prob. 36HPCh. 10.5 - Prob. 37HPCh. 10.5 - Prob. 38HPCh. 10.5 - Prob. 39HPCh. 10.5 - Prob. 40STPCh. 10.5 - Prob. 41STPCh. 10.5 - Prob. 42STPCh. 10.5 - Prob. 43STPCh. 10.5 - Prob. 44SPRCh. 10.5 - Prob. 45SPRCh. 10.5 - Prob. 46SPRCh. 10.5 - Prob. 47SPRCh. 10.5 - Prob. 48SPRCh. 10.5 - Prob. 49SPRCh. 10.5 - Prob. 50SPRCh. 10.5 - Prob. 51SPRCh. 10.5 - Prob. 52SPRCh. 10.5 - Prob. 53SRCh. 10.5 - Prob. 54SRCh. 10.5 - Prob. 55SRCh. 10.6 - Prob. 1ACYPCh. 10.6 - Prob. 1BCYPCh. 10.6 - Prob. 1CCYPCh. 10.6 - Prob. 2ACYPCh. 10.6 - Prob. 2BCYPCh. 10.6 - Prob. 3ACYPCh. 10.6 - Prob. 3BCYPCh. 10.6 - Prob. 4CYPCh. 10.6 - Prob. 1CYUCh. 10.6 - Prob. 2CYUCh. 10.6 - Prob. 3CYUCh. 10.6 - Prob. 4CYUCh. 10.6 - Prob. 5CYUCh. 10.6 - Prob. 6CYUCh. 10.6 - Prob. 7CYUCh. 10.6 - Prob. 8PPSCh. 10.6 - Prob. 9PPSCh. 10.6 - Prob. 10PPSCh. 10.6 - Prob. 11PPSCh. 10.6 - Prob. 12PPSCh. 10.6 - Prob. 13PPSCh. 10.6 - Prob. 14PPSCh. 10.6 - Prob. 15PPSCh. 10.6 - Prob. 16PPSCh. 10.6 - Prob. 17PPSCh. 10.6 - Prob. 18PPSCh. 10.6 - Prob. 19PPSCh. 10.6 - Prob. 20PPSCh. 10.6 - Prob. 21PPSCh. 10.6 - Prob. 22PPSCh. 10.6 - Prob. 23PPSCh. 10.6 - Prob. 24PPSCh. 10.6 - Prob. 25PPSCh. 10.6 - Prob. 26PPSCh. 10.6 - Prob. 27PPSCh. 10.6 - Prob. 28PPSCh. 10.6 - Prob. 29PPSCh. 10.6 - Prob. 30PPSCh. 10.6 - Prob. 31PPSCh. 10.6 - Prob. 32PPSCh. 10.6 - Prob. 33PPSCh. 10.6 - Prob. 34PPSCh. 10.6 - Prob. 35PPSCh. 10.6 - Prob. 36HPCh. 10.6 - Prob. 37HPCh. 10.6 - Prob. 38HPCh. 10.6 - Prob. 39HPCh. 10.6 - Prob. 40HPCh. 10.6 - Prob. 41HPCh. 10.6 - Prob. 42STPCh. 10.6 - Prob. 43STPCh. 10.6 - Prob. 44STPCh. 10.6 - Prob. 45STPCh. 10.6 - Prob. 46SPRCh. 10.6 - Prob. 47SPRCh. 10.6 - Prob. 48SPRCh. 10.6 - Prob. 49SPRCh. 10.6 - Prob. 50SPRCh. 10.6 - Prob. 51SPRCh. 10.6 - Prob. 52SPRCh. 10.6 - Prob. 53SRCh. 10.6 - Prob. 54SRCh. 10.6 - Prob. 55SRCh. 10.6 - Prob. 56SRCh. 10.6 - Prob. 57SRCh. 10.6 - Prob. 58SRCh. 10.7 - Prob. 1ACYPCh. 10.7 - Prob. 1BCYPCh. 10.7 - Prob. 2CYPCh. 10.7 - Prob. 3ACYPCh. 10.7 - Prob. 3BCYPCh. 10.7 - Prob. 4CYPCh. 10.7 - Prob. 1CYUCh. 10.7 - Prob. 2CYUCh. 10.7 - Prob. 3CYUCh. 10.7 - Prob. 4CYUCh. 10.7 - Prob. 5CYUCh. 10.7 - Prob. 6PPSCh. 10.7 - Prob. 7PPSCh. 10.7 - Prob. 8PPSCh. 10.7 - Prob. 9PPSCh. 10.7 - Prob. 10PPSCh. 10.7 - Prob. 11PPSCh. 10.7 - Prob. 12PPSCh. 10.7 - Prob. 13PPSCh. 10.7 - Prob. 14PPSCh. 10.7 - Prob. 15PPSCh. 10.7 - Prob. 16PPSCh. 10.7 - Prob. 17PPSCh. 10.7 - Prob. 18PPSCh. 10.7 - Prob. 19PPSCh. 10.7 - Prob. 20PPSCh. 10.7 - Prob. 21PPSCh. 10.7 - Prob. 22PPSCh. 10.7 - Prob. 23PPSCh. 10.7 - Prob. 24PPSCh. 10.7 - Prob. 25PPSCh. 10.7 - Prob. 26HPCh. 10.7 - Prob. 27HPCh. 10.7 - Prob. 28HPCh. 10.7 - Prob. 29HPCh. 10.7 - Prob. 30HPCh. 10.7 - Prob. 31HPCh. 10.7 - Prob. 32STPCh. 10.7 - Prob. 33STPCh. 10.7 - Prob. 34STPCh. 10.7 - Prob. 35STPCh. 10.7 - Prob. 36SPRCh. 10.7 - Prob. 37SPRCh. 10.7 - Prob. 38SPRCh. 10.7 - Prob. 39SPRCh. 10.7 - Prob. 40SPRCh. 10.7 - Prob. 41SPRCh. 10.7 - Prob. 42SPRCh. 10.7 - Prob. 43SPRCh. 10.7 - Prob. 44SRCh. 10.7 - Prob. 45SRCh. 10.7 - Prob. 46SRCh. 10.7 - Prob. 47SRCh. 10.7 - Prob. 48SRCh. 10.7 - Prob. 49SRCh. 10.8 - Prob. 1ACYPCh. 10.8 - Prob. 1BCYPCh. 10.8 - Prob. 2ACYPCh. 10.8 - Prob. 2BCYPCh. 10.8 - Prob. 3ACYPCh. 10.8 - Prob. 3BCYPCh. 10.8 - Prob. 4CYPCh. 10.8 - Prob. 1CYUCh. 10.8 - Prob. 2CYUCh. 10.8 - Prob. 3CYUCh. 10.8 - Prob. 4CYUCh. 10.8 - Prob. 5CYUCh. 10.8 - Prob. 6CYUCh. 10.8 - Prob. 7CYUCh. 10.8 - Prob. 8CYUCh. 10.8 - Prob. 9CYUCh. 10.8 - Prob. 10CYUCh. 10.8 - Prob. 11PPSCh. 10.8 - Prob. 12PPSCh. 10.8 - Prob. 13PPSCh. 10.8 - Prob. 14PPSCh. 10.8 - Prob. 15PPSCh. 10.8 - Prob. 16PPSCh. 10.8 - Prob. 17PPSCh. 10.8 - Prob. 18PPSCh. 10.8 - Prob. 19PPSCh. 10.8 - Prob. 20PPSCh. 10.8 - Prob. 21PPSCh. 10.8 - Prob. 22PPSCh. 10.8 - Prob. 23PPSCh. 10.8 - Prob. 24PPSCh. 10.8 - Prob. 25PPSCh. 10.8 - Prob. 26PPSCh. 10.8 - Prob. 27PPSCh. 10.8 - Prob. 28PPSCh. 10.8 - Prob. 29PPSCh. 10.8 - Prob. 30PPSCh. 10.8 - Prob. 31PPSCh. 10.8 - Prob. 32PPSCh. 10.8 - Prob. 33PPSCh. 10.8 - Prob. 34PPSCh. 10.8 - 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