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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Chapter 6.6, Problem 34PPS

(a)

To determine

To calculate: To determine if the figure is a trapezoid and if yes, its an isosceles trapezoid

(a)

Expert Solution
Check Mark

Answer to Problem 34PPS

Quadrilateral ABCD is a trapezium, but not an isosceles trapezoid

Explanation of Solution

Given: Quadrilateral ABCDas follows

  Geometry, Student Edition, Chapter 6.6, Problem 34PPS , additional homework tip  1

Formula Used:

Slope of line joining two points (x1,y1) and (x2,y2) is calculated as follows:

  Slope=y2y1x2x1

When slope of two lines are equal, then the lines are parallel to each other

When product of slope of two lines is equal to 1 , then the lines are perpendicular to each other.

Quadrilateral is a trapezium if exactly one pair of opposite sides are parallel

Calculation:

Given a quadrilateral ABCD as follows:

  Geometry, Student Edition, Chapter 6.6, Problem 34PPS , additional homework tip  2

Slope of sides of quadrilateral are calculated as follows:

  mAB=321(3)=11+3=14

  mBC=0351=34

  mCD=4055=40

  mDA=2(4)35=2+48=68=34

Since slope of sides BC and DA are equal

Thus, sides BC and DA are parallel to each other

In quadrilateral ABCD, since exactly one pair of opposite sides are parallel, thus the quadrilateral is a trapezium

Now, using distance formula, let’s compare the length of non-parallel sides AB and CD

  AB=(1)2+(4)2=1+16=17

  CD=(4)2+(0)2=16=4

Since the length of sides are not equal, thus trapezium is not an isosceles trapezoid

Conclusion:

Hence, quadrilateral ABCD is a trapezium, but not an isosceles trapezoid

(b)

To determine

To calculate: To determine if the mid-segment is contained in the line with equation y=x+1

(b)

Expert Solution
Check Mark

Answer to Problem 34PPS

Themid-segment is not contained in the line with equation y=x+1

Explanation of Solution

Given: Quadrilateral ABCD as follows

  Geometry, Student Edition, Chapter 6.6, Problem 34PPS , additional homework tip  3

Formula Used:

Slope of line joining two points (x1,y1) and (x2,y2) is calculated as follows:

  Slope=y2y1x2x1

When slope of two lines are equal, then the lines are parallel to each other

When product of slope of two lines is equal to 1 , then the lines are perpendicular to each other.

Quadrilateral is a trapezium if exactly one pair of opposite sides are parallel

Calculation:

Given a quadrilateral ABCD as follows:

  Geometry, Student Edition, Chapter 6.6, Problem 34PPS , additional homework tip  4

Mid-segment of trapezium must pass through the mid-point of lines AB and CD

Now, mid-point of line AB is calculated as follows:

  AB(x,y)=3+12,2+32AB(x,y)=22,52AB(x,y)=1,2.5

Also, mid-point of line CD is calculated as follows:

  CD(x,y)=5+52,4+02CD(x,y)=102,42CD(x,y)=5,2

In order to find if the mid-segment is contained in the line with equation y=x+1 , the point (5,2) and (1,2.5) must line on the equation.

Substituting (1,2.5) in the equation y=x+1 :

  y=(1)+1=22.5

Thus, mid-segment is not contained in the line with equation y=x+1

Conclusion:

Hence, themid-segment is not contained in the line with equation y=x+1

(c)

To determine

To calculate: To determine the length of mid-segment of the trapezium

(c)

Expert Solution
Check Mark

Answer to Problem 34PPS

Thelength of mid-segment of the trapezium is 7.5

Explanation of Solution

Given: Quadrilateral ABCD as follows

  Geometry, Student Edition, Chapter 6.6, Problem 34PPS , additional homework tip  5

Formula Used:

Slope of line joining two points (x1,y1) and (x2,y2) is calculated as follows:

  Slope=y2y1x2x1

When slope of two lines are equal, then the lines are parallel to each other

When product of slope of two lines is equal to 1 , then the lines are perpendicular to each other.

Quadrilateral is a trapezium if exactly one pair of opposite sides are parallel

Calculation:

Given a quadrilateral ABCD as follows:

  Geometry, Student Edition, Chapter 6.6, Problem 34PPS , additional homework tip  6

Mid-segment of trapezium must pass through the mid-point of lines AB and CD

Now, mid-point of line AB is calculated as follows:

  AB(x,y)=3+12,2+32AB(x,y)=22,52AB(x,y)=1,2.5

Also, mid-point of line CD is calculated as follows:

  CD(x,y)=5+52,4+02CD(x,y)=102,42CD(x,y)=5,2

Let EF be mid-segment of the trapezium. Length of mid-segment is calculated using distance formula:

  EF=(15)2+(2.5+2)2EF=(6)2+(4.5)2EF=36+20.25EF=56.25EF=7.5

Conclusion:

Hence, thelength of mid-segment of trapezium is 7.5

Chapter 6 Solutions

Geometry, Student Edition

Ch. 6.1 - Prob. 4CYUCh. 6.1 - Prob. 5CYUCh. 6.1 - Prob. 6CYUCh. 6.1 - Prob. 7CYUCh. 6.1 - Prob. 8CYUCh. 6.1 - Prob. 9CYUCh. 6.1 - Prob. 10CYUCh. 6.1 - Prob. 11CYUCh. 6.1 - Prob. 12PPSCh. 6.1 - Prob. 13PPSCh. 6.1 - Prob. 14PPSCh. 6.1 - Prob. 15PPSCh. 6.1 - Prob. 16PPSCh. 6.1 - Prob. 17PPSCh. 6.1 - Prob. 18PPSCh. 6.1 - Prob. 19PPSCh. 6.1 - Prob. 20PPSCh. 6.1 - Prob. 21PPSCh. 6.1 - Prob. 22PPSCh. 6.1 - Prob. 23PPSCh. 6.1 - Prob. 24PPSCh. 6.1 - Prob. 25PPSCh. 6.1 - Prob. 26PPSCh. 6.1 - Prob. 27PPSCh. 6.1 - Prob. 28PPSCh. 6.1 - Prob. 29PPSCh. 6.1 - Prob. 30PPSCh. 6.1 - Prob. 31PPSCh. 6.1 - Prob. 32PPSCh. 6.1 - Prob. 33PPSCh. 6.1 - Prob. 34PPSCh. 6.1 - Prob. 35PPSCh. 6.1 - Prob. 36PPSCh. 6.1 - Prob. 37PPSCh. 6.1 - Prob. 38PPSCh. 6.1 - Prob. 39PPSCh. 6.1 - Prob. 40PPSCh. 6.1 - Prob. 41PPSCh. 6.1 - Prob. 42PPSCh. 6.1 - Prob. 43PPSCh. 6.1 - Prob. 44PPSCh. 6.1 - Prob. 45PPSCh. 6.1 - Prob. 46PPSCh. 6.1 - Prob. 47PPSCh. 6.1 - Prob. 48PPSCh. 6.1 - Prob. 49HPCh. 6.1 - Prob. 50HPCh. 6.1 - Prob. 51HPCh. 6.1 - Prob. 52HPCh. 6.1 - Prob. 53HPCh. 6.1 - Prob. 54STPCh. 6.1 - Prob. 55STPCh. 6.1 - Prob. 56STPCh. 6.1 - Prob. 57STPCh. 6.1 - Prob. 58SPRCh. 6.1 - Prob. 59SPRCh. 6.1 - Prob. 60SPRCh. 6.1 - Prob. 61SPRCh. 6.1 - Prob. 62SPRCh. 6.1 - Prob. 63SPRCh. 6.1 - Prob. 64SPRCh. 6.1 - Prob. 65SRCh. 6.1 - Prob. 66SRCh. 6.2 - Prob. 1ACYPCh. 6.2 - Prob. 2ACYPCh. 6.2 - Prob. 2BCYPCh. 6.2 - Prob. 3CYPCh. 6.2 - Prob. 4CYPCh. 6.2 - Prob. 1CYUCh. 6.2 - Prob. 2CYUCh. 6.2 - Prob. 3CYUCh. 6.2 - Prob. 4CYUCh. 6.2 - Prob. 5CYUCh. 6.2 - Prob. 6CYUCh. 6.2 - Prob. 7CYUCh. 6.2 - Prob. 8CYUCh. 6.2 - Prob. 9PPSCh. 6.2 - Prob. 10PPSCh. 6.2 - Prob. 11PPSCh. 6.2 - Prob. 12PPSCh. 6.2 - Prob. 13PPSCh. 6.2 - Prob. 14PPSCh. 6.2 - Prob. 15PPSCh. 6.2 - Prob. 16PPSCh. 6.2 - Prob. 17PPSCh. 6.2 - Prob. 18PPSCh. 6.2 - Prob. 19PPSCh. 6.2 - Prob. 20PPSCh. 6.2 - Prob. 21PPSCh. 6.2 - Prob. 22PPSCh. 6.2 - Prob. 23PPSCh. 6.2 - Prob. 24PPSCh. 6.2 - Prob. 25PPSCh. 6.2 - Prob. 26PPSCh. 6.2 - Prob. 27PPSCh. 6.2 - Prob. 28PPSCh. 6.2 - Prob. 29PPSCh. 6.2 - 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Prob. 9PPSCh. 6.3 - Prob. 10PPSCh. 6.3 - Prob. 11PPSCh. 6.3 - Prob. 12PPSCh. 6.3 - Prob. 13PPSCh. 6.3 - Prob. 14PPSCh. 6.3 - Prob. 15PPSCh. 6.3 - Prob. 16PPSCh. 6.3 - Prob. 17PPSCh. 6.3 - Prob. 18PPSCh. 6.3 - Prob. 19PPSCh. 6.3 - Prob. 20PPSCh. 6.3 - Prob. 21PPSCh. 6.3 - Prob. 22PPSCh. 6.3 - Prob. 23PPSCh. 6.3 - Prob. 24PPSCh. 6.3 - Prob. 25PPSCh. 6.3 - Prob. 26PPSCh. 6.3 - Prob. 27PPSCh. 6.3 - Prob. 28PPSCh. 6.3 - Prob. 29PPSCh. 6.3 - Prob. 30PPSCh. 6.3 - Prob. 31PPSCh. 6.3 - Prob. 32PPSCh. 6.3 - Prob. 33PPSCh. 6.3 - Prob. 34PPSCh. 6.3 - Prob. 35PPSCh. 6.3 - Prob. 36PPSCh. 6.3 - Prob. 37PPSCh. 6.3 - Prob. 38PPSCh. 6.3 - Prob. 39PPSCh. 6.3 - Prob. 40HPCh. 6.3 - Prob. 41HPCh. 6.3 - Prob. 42HPCh. 6.3 - Prob. 43HPCh. 6.3 - Prob. 44HPCh. 6.3 - Prob. 45HPCh. 6.3 - Prob. 46STPCh. 6.3 - Prob. 47STPCh. 6.3 - Prob. 48STPCh. 6.3 - Prob. 49STPCh. 6.3 - Prob. 50SPRCh. 6.3 - Prob. 51SPRCh. 6.3 - Prob. 52SPRCh. 6.3 - Prob. 53SPRCh. 6.3 - Prob. 54SPRCh. 6.3 - Prob. 55SPRCh. 6.3 - Prob. 56SPRCh. 6.3 - Prob. 57SPRCh. 6.3 - Prob. 58SRCh. 6.3 - Prob. 59SRCh. 6.4 - Prob. 1ACYPCh. 6.4 - Prob. 1BCYPCh. 6.4 - Prob. 2CYPCh. 6.4 - Prob. 3CYPCh. 6.4 - Prob. 4CYPCh. 6.4 - Prob. 1CYUCh. 6.4 - Prob. 2CYUCh. 6.4 - Prob. 3CYUCh. 6.4 - Prob. 4CYUCh. 6.4 - Prob. 5CYUCh. 6.4 - Prob. 6CYUCh. 6.4 - Prob. 7CYUCh. 6.4 - Prob. 8CYUCh. 6.4 - Prob. 9CYUCh. 6.4 - Prob. 10PPSCh. 6.4 - Prob. 11PPSCh. 6.4 - Prob. 12PPSCh. 6.4 - Prob. 13PPSCh. 6.4 - Prob. 14PPSCh. 6.4 - Prob. 15PPSCh. 6.4 - Prob. 16PPSCh. 6.4 - Prob. 17PPSCh. 6.4 - Prob. 18PPSCh. 6.4 - Prob. 19PPSCh. 6.4 - Prob. 20PPSCh. 6.4 - Prob. 21PPSCh. 6.4 - Prob. 22PPSCh. 6.4 - Prob. 23PPSCh. 6.4 - Prob. 24PPSCh. 6.4 - Prob. 25PPSCh. 6.4 - Prob. 26PPSCh. 6.4 - Prob. 27PPSCh. 6.4 - Prob. 28PPSCh. 6.4 - Prob. 29PPSCh. 6.4 - Prob. 30PPSCh. 6.4 - Prob. 31PPSCh. 6.4 - Prob. 32PPSCh. 6.4 - Prob. 33PPSCh. 6.4 - Prob. 34PPSCh. 6.4 - Prob. 35PPSCh. 6.4 - Prob. 36PPSCh. 6.4 - Prob. 37PPSCh. 6.4 - Prob. 38PPSCh. 6.4 - Prob. 39PPSCh. 6.4 - Prob. 40PPSCh. 6.4 - Prob. 41PPSCh. 6.4 - Prob. 42PPSCh. 6.4 - Prob. 43PPSCh. 6.4 - Prob. 44PPSCh. 6.4 - Prob. 45HPCh. 6.4 - Prob. 46HPCh. 6.4 - Prob. 47HPCh. 6.4 - Prob. 48HPCh. 6.4 - Prob. 49HPCh. 6.4 - Prob. 50STPCh. 6.4 - Prob. 51STPCh. 6.4 - Prob. 52STPCh. 6.4 - Prob. 53STPCh. 6.4 - Prob. 54SPRCh. 6.4 - Prob. 55SPRCh. 6.4 - Prob. 56SPRCh. 6.4 - Prob. 57SPRCh. 6.4 - Prob. 58SPRCh. 6.4 - Prob. 59SPRCh. 6.4 - Prob. 60SPRCh. 6.4 - Prob. 61SPRCh. 6.4 - Prob. 62SRCh. 6.4 - Prob. 63SRCh. 6.4 - Prob. 64SRCh. 6.5 - Prob. 1ACYPCh. 6.5 - Prob. 1BCYPCh. 6.5 - Prob. 2CYPCh. 6.5 - Prob. 3CYPCh. 6.5 - Prob. 4CYPCh. 6.5 - Prob. 1CYUCh. 6.5 - Prob. 2CYUCh. 6.5 - Prob. 3CYUCh. 6.5 - Prob. 4CYUCh. 6.5 - Prob. 5CYUCh. 6.5 - Prob. 6CYUCh. 6.5 - Prob. 7PPSCh. 6.5 - Prob. 8PPSCh. 6.5 - Prob. 9PPSCh. 6.5 - Prob. 10PPSCh. 6.5 - Prob. 11PPSCh. 6.5 - Prob. 12PPSCh. 6.5 - Prob. 13PPSCh. 6.5 - Prob. 14PPSCh. 6.5 - Prob. 15PPSCh. 6.5 - Prob. 16PPSCh. 6.5 - Prob. 17PPSCh. 6.5 - Prob. 18PPSCh. 6.5 - Prob. 19PPSCh. 6.5 - Prob. 20PPSCh. 6.5 - Prob. 21PPSCh. 6.5 - Prob. 22PPSCh. 6.5 - Prob. 23PPSCh. 6.5 - Prob. 24PPSCh. 6.5 - Prob. 25PPSCh. 6.5 - Prob. 26PPSCh. 6.5 - Prob. 27PPSCh. 6.5 - Prob. 28PPSCh. 6.5 - Prob. 29PPSCh. 6.5 - Prob. 30PPSCh. 6.5 - Prob. 31PPSCh. 6.5 - Prob. 32PPSCh. 6.5 - Prob. 33PPSCh. 6.5 - Prob. 34PPSCh. 6.5 - Prob. 35PPSCh. 6.5 - Prob. 36PPSCh. 6.5 - Prob. 37PPSCh. 6.5 - Prob. 38PPSCh. 6.5 - Prob. 39PPSCh. 6.5 - Prob. 40PPSCh. 6.5 - Prob. 41PPSCh. 6.5 - Prob. 42PPSCh. 6.5 - Prob. 43PPSCh. 6.5 - Prob. 44PPSCh. 6.5 - Prob. 45PPSCh. 6.5 - Prob. 46HPCh. 6.5 - Prob. 47HPCh. 6.5 - Prob. 48HPCh. 6.5 - Prob. 49HPCh. 6.5 - Prob. 50HPCh. 6.5 - Prob. 51STPCh. 6.5 - Prob. 52STPCh. 6.5 - Prob. 53STPCh. 6.5 - Prob. 54STPCh. 6.5 - Prob. 55SPRCh. 6.5 - Prob. 56SPRCh. 6.5 - Prob. 57SPRCh. 6.5 - Prob. 58SPRCh. 6.5 - Prob. 59SPRCh. 6.5 - Prob. 60SPRCh. 6.5 - Prob. 61SPRCh. 6.5 - Prob. 62SPRCh. 6.5 - Prob. 63SRCh. 6.5 - Prob. 64SRCh. 6.5 - Prob. 65SRCh. 6.6 - Prob. 1CYPCh. 6.6 - Prob. 2CYPCh. 6.6 - Prob. 3CYPCh. 6.6 - Prob. 4ACYPCh. 6.6 - Prob. 4BCYPCh. 6.6 - Prob. 1CYUCh. 6.6 - Prob. 2CYUCh. 6.6 - Prob. 3CYUCh. 6.6 - Prob. 4CYUCh. 6.6 - Prob. 5CYUCh. 6.6 - Prob. 6CYUCh. 6.6 - Prob. 7CYUCh. 6.6 - Prob. 8PPSCh. 6.6 - Prob. 9PPSCh. 6.6 - Prob. 10PPSCh. 6.6 - Prob. 11PPSCh. 6.6 - Prob. 12PPSCh. 6.6 - Prob. 13PPSCh. 6.6 - Prob. 14PPSCh. 6.6 - Prob. 15PPSCh. 6.6 - Prob. 16PPSCh. 6.6 - Prob. 17PPSCh. 6.6 - Prob. 18PPSCh. 6.6 - Prob. 19PPSCh. 6.6 - Prob. 20PPSCh. 6.6 - Prob. 21PPSCh. 6.6 - Prob. 22PPSCh. 6.6 - Prob. 23PPSCh. 6.6 - Prob. 24PPSCh. 6.6 - Prob. 25PPSCh. 6.6 - Prob. 26PPSCh. 6.6 - Prob. 27PPSCh. 6.6 - Prob. 28PPSCh. 6.6 - Prob. 29PPSCh. 6.6 - Prob. 30PPSCh. 6.6 - Prob. 31PPSCh. 6.6 - Prob. 32PPSCh. 6.6 - Prob. 33PPSCh. 6.6 - Prob. 34PPSCh. 6.6 - Prob. 35PPSCh. 6.6 - Prob. 36PPSCh. 6.6 - Prob. 37PPSCh. 6.6 - Prob. 38PPSCh. 6.6 - Prob. 39PPSCh. 6.6 - Prob. 40PPSCh. 6.6 - Prob. 41PPSCh. 6.6 - Prob. 42PPSCh. 6.6 - Prob. 43PPSCh. 6.6 - Prob. 44PPSCh. 6.6 - Prob. 45PPSCh. 6.6 - Prob. 46PPSCh. 6.6 - Prob. 47PPSCh. 6.6 - Prob. 48PPSCh. 6.6 - Prob. 49PPSCh. 6.6 - Prob. 50PPSCh. 6.6 - Prob. 51PPSCh. 6.6 - Prob. 52PPSCh. 6.6 - Prob. 53PPSCh. 6.6 - Prob. 54PPSCh. 6.6 - Prob. 55PPSCh. 6.6 - Prob. 56PPSCh. 6.6 - Prob. 57PPSCh. 6.6 - Prob. 58PPSCh. 6.6 - Prob. 59PPSCh. 6.6 - Prob. 60PPSCh. 6.6 - Prob. 61PPSCh. 6.6 - Prob. 62PPSCh. 6.6 - Prob. 63PPSCh. 6.6 - Prob. 64PPSCh. 6.6 - Prob. 65HPCh. 6.6 - Prob. 66HPCh. 6.6 - Prob. 67HPCh. 6.6 - Prob. 68HPCh. 6.6 - Prob. 69HPCh. 6.6 - Prob. 70STPCh. 6.6 - Prob. 71STPCh. 6.6 - Prob. 72STPCh. 6.6 - Prob. 73STPCh. 6.6 - Prob. 74SPRCh. 6.6 - Prob. 75SPRCh. 6.6 - Prob. 76SPRCh. 6.6 - Prob. 77SPRCh. 6.6 - Prob. 78SPRCh. 6.6 - Prob. 79SPRCh. 6.6 - Prob. 80SPRCh. 6.6 - Prob. 81SPRCh. 6.6 - Prob. 82SRCh. 6.6 - Prob. 83SRCh. 6.6 - Prob. 84SRCh. 6 - Prob. 1GRFCCh. 6 - Prob. 2GRFCCh. 6 - Prob. 3GRFCCh. 6 - Prob. 4GRFCCh. 6 - Prob. 5GRFCCh. 6 - Prob. 6GRFCCh. 6 - Prob. 7GRFCCh. 6 - Prob. 8GRFCCh. 6 - Prob. 9GRFCCh. 6 - Prob. 1MCQCh. 6 - Prob. 2MCQCh. 6 - Prob. 3MCQCh. 6 - Prob. 4MCQCh. 6 - Prob. 5MCQCh. 6 - Prob. 6MCQCh. 6 - Prob. 7MCQCh. 6 - Prob. 8MCQCh. 6 - Prob. 9MCQCh. 6 - Prob. 10MCQCh. 6 - Prob. 11MCQCh. 6 - Prob. 12MCQCh. 6 - Prob. 13MCQCh. 6 - Prob. 14MCQCh. 6 - Prob. 15MCQCh. 6 - Prob. 16MCQCh. 6 - Prob. 17MCQCh. 6 - Prob. 18MCQCh. 6 - Prob. 19MCQCh. 6 - Prob. 20MCQCh. 6 - Prob. 21MCQCh. 6 - Prob. 22MCQCh. 6 - Prob. 23MCQCh. 6 - Prob. 24MCQCh. 6 - Prob. 25MCQCh. 6 - Prob. 1SGRCh. 6 - Prob. 2SGRCh. 6 - Prob. 3SGRCh. 6 - Prob. 4SGRCh. 6 - Prob. 5SGRCh. 6 - Prob. 6SGRCh. 6 - Prob. 7SGRCh. 6 - Prob. 8SGRCh. 6 - Prob. 9SGRCh. 6 - Prob. 10SGRCh. 6 - Prob. 11SGRCh. 6 - Prob. 12SGRCh. 6 - Prob. 13SGRCh. 6 - Prob. 14SGRCh. 6 - Prob. 15SGRCh. 6 - Prob. 16SGRCh. 6 - Prob. 17SGRCh. 6 - Prob. 18SGRCh. 6 - Prob. 19SGRCh. 6 - Prob. 20SGRCh. 6 - Prob. 21SGRCh. 6 - Prob. 22SGRCh. 6 - Prob. 23SGRCh. 6 - Prob. 24SGRCh. 6 - Prob. 25SGRCh. 6 - Prob. 26SGRCh. 6 - Prob. 27SGRCh. 6 - Prob. 28SGRCh. 6 - Prob. 29SGRCh. 6 - Prob. 30SGRCh. 6 - Prob. 31SGRCh. 6 - Prob. 32SGRCh. 6 - Prob. 33SGRCh. 6 - Prob. 34SGRCh. 6 - Prob. 35SGRCh. 6 - Prob. 36SGRCh. 6 - Prob. 37SGRCh. 6 - Prob. 38SGRCh. 6 - Prob. 39SGRCh. 6 - Prob. 40SGRCh. 6 - Prob. 41SGRCh. 6 - Prob. 42SGRCh. 6 - Prob. 43SGRCh. 6 - Prob. 1PTCh. 6 - Prob. 2PTCh. 6 - Prob. 3PTCh. 6 - Prob. 4PTCh. 6 - Prob. 5PTCh. 6 - Prob. 6PTCh. 6 - Prob. 7PTCh. 6 - Prob. 8PTCh. 6 - Prob. 9PTCh. 6 - Prob. 10PTCh. 6 - Prob. 11PTCh. 6 - Prob. 12PTCh. 6 - Prob. 13PTCh. 6 - Prob. 14PTCh. 6 - Prob. 15PTCh. 6 - Prob. 16PTCh. 6 - Prob. 17PTCh. 6 - Prob. 18PTCh. 6 - Prob. 19PTCh. 6 - Prob. 20PTCh. 6 - Prob. 21PTCh. 6 - Prob. 22PTCh. 6 - Prob. 23PTCh. 6 - Prob. 24PTCh. 6 - Prob. 25PTCh. 6 - Prob. 1STPCh. 6 - Prob. 2STPCh. 6 - Prob. 3STPCh. 6 - Prob. 4STPCh. 6 - Prob. 5STPCh. 6 - Prob. 6STPCh. 6 - Prob. 7STPCh. 6 - Prob. 8STPCh. 6 - Prob. 9STPCh. 6 - Prob. 10STPCh. 6 - Prob. 11STPCh. 6 - Prob. 12STPCh. 6 - Prob. 13STPCh. 6 - Prob. 14STP
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