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 4.5, Problem 20PPS
To determine

To prove:

  QT¯≅WU¯ for the following figure in the form of the two-column:

  Geometry, Student Edition, Chapter 4.5, Problem 20PPS , additional homework tip 1

Expert Solution & Answer
Check Mark

Explanation of Solution

Given information:

  QR¯≅SR¯≅WR¯≅VR¯

Proof:

From the given figure:

  Geometry, Student Edition, Chapter 4.5, Problem 20PPS , additional homework tip 2

The two-column proof is written as:

    No. Proof of stepsReason
    1.QR¯≅SR¯≅WR¯≅VR¯Given information
    2.Geometry, Student Edition, Chapter 4.5, Problem 20PPS , additional homework tip 3Vertical right angles are always congruent in nature
    3.ΔVRQ≅ΔSRWAccording to side- angle- side (SAS) congruence postulate
    4.∠VQR≅∠SWRCorresponding parts of congruent triangles are congruent
    5.∠QRT≅∠URWVertical right angles are always congruent in nature
    6.ΔURW≅ΔTRQAccording to angle side angle (ASA) congruence postulate
    7. QT¯≅WU¯Corresponding parts of congruent triangles are congruent

Hence proved

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Chapter 4.5, Problem 19PPS
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Chapter 4.5, Problem 21PPS

Chapter 4 Solutions

Geometry, Student Edition

Ch. 4.1 - Prob. 1ACYPCh. 4.1 - Prob. 1BCYPCh. 4.1 - Prob. 2CYPCh. 4.1 - Prob. 3CYPCh. 4.1 - Prob. 4CYPCh. 4.1 - Prob. 5CYPCh. 4.1 - Prob. 1CYUCh. 4.1 - Prob. 2CYUCh. 4.1 - Prob. 3CYUCh. 4.1 - Prob. 4CYU
Ch. 4.1 - Prob. 5CYUCh. 4.1 - Prob. 6CYUCh. 4.1 - Prob. 7CYUCh. 4.1 - Prob. 8CYUCh. 4.1 - Prob. 9CYUCh. 4.1 - Prob. 10CYUCh. 4.1 - Prob. 11CYUCh. 4.1 - Prob. 12CYUCh. 4.1 - Prob. 13CYUCh. 4.1 - Prob. 14CYUCh. 4.1 - Prob. 15PPSCh. 4.1 - Prob. 16PPSCh. 4.1 - Prob. 17PPSCh. 4.1 - Prob. 18PPSCh. 4.1 - Prob. 19PPSCh. 4.1 - Prob. 20PPSCh. 4.1 - Prob. 21PPSCh. 4.1 - Prob. 22PPSCh. 4.1 - Prob. 23PPSCh. 4.1 - Prob. 24PPSCh. 4.1 - Prob. 25PPSCh. 4.1 - Prob. 26PPSCh. 4.1 - Prob. 27PPSCh. 4.1 - Prob. 28PPSCh. 4.1 - Prob. 29PPSCh. 4.1 - Prob. 30PPSCh. 4.1 - Prob. 31PPSCh. 4.1 - Prob. 32PPSCh. 4.1 - Prob. 33PPSCh. 4.1 - Prob. 34PPSCh. 4.1 - Prob. 35PPSCh. 4.1 - Prob. 36PPSCh. 4.1 - Prob. 37PPSCh. 4.1 - Prob. 38PPSCh. 4.1 - Prob. 39PPSCh. 4.1 - Prob. 40PPSCh. 4.1 - Prob. 41PPSCh. 4.1 - Prob. 42PPSCh. 4.1 - Prob. 43PPSCh. 4.1 - Prob. 44PPSCh. 4.1 - Prob. 45PPSCh. 4.1 - Prob. 46PPSCh. 4.1 - Prob. 47PPSCh. 4.1 - Prob. 48PPSCh. 4.1 - Prob. 49PPSCh. 4.1 - Prob. 50PPSCh. 4.1 - Prob. 51PPSCh. 4.1 - Prob. 52PPSCh. 4.1 - Prob. 53PPSCh. 4.1 - Prob. 54PPSCh. 4.1 - Prob. 55PPSCh. 4.1 - Prob. 56HPCh. 4.1 - Prob. 57HPCh. 4.1 - Prob. 58HPCh. 4.1 - Prob. 59HPCh. 4.1 - Prob. 60HPCh. 4.1 - Prob. 61HPCh. 4.1 - Prob. 62HPCh. 4.1 - Prob. 63HPCh. 4.1 - Prob. 64HPCh. 4.1 - Prob. 65STPCh. 4.1 - Prob. 66STPCh. 4.1 - Prob. 67STPCh. 4.1 - Prob. 68STPCh. 4.1 - Prob. 69SPRCh. 4.1 - Prob. 70SPRCh. 4.1 - Prob. 71SPRCh. 4.1 - Prob. 72SPRCh. 4.1 - Prob. 73SPRCh. 4.1 - Prob. 74SPRCh. 4.1 - Prob. 75SPRCh. 4.1 - Prob. 76SPRCh. 4.1 - Prob. 77SPRCh. 4.1 - Prob. 78SPRCh. 4.1 - Prob. 79SPRCh. 4.1 - Prob. 80SPRCh. 4.1 - Prob. 81SPRCh. 4.1 - Prob. 82SRCh. 4.1 - Prob. 83SRCh. 4.1 - Prob. 84SRCh. 4.1 - Prob. 85SRCh. 4.2 - Prob. 1ACYPCh. 4.2 - Prob. 1BCYPCh. 4.2 - Prob. 2CYPCh. 4.2 - Prob. 3ACYPCh. 4.2 - Prob. 3BCYPCh. 4.2 - Prob. 3CCYPCh. 4.2 - Prob. 1CYUCh. 4.2 - Prob. 2CYUCh. 4.2 - Prob. 3CYUCh. 4.2 - Prob. 4CYUCh. 4.2 - Prob. 5CYUCh. 4.2 - Prob. 6CYUCh. 4.2 - Prob. 7CYUCh. 4.2 - Prob. 8CYUCh. 4.2 - Prob. 9CYUCh. 4.2 - Prob. 10CYUCh. 4.2 - Prob. 11CYUCh. 4.2 - Prob. 12PPSCh. 4.2 - Prob. 13PPSCh. 4.2 - Prob. 14PPSCh. 4.2 - Prob. 15PPSCh. 4.2 - Prob. 16PPSCh. 4.2 - Prob. 17PPSCh. 4.2 - Prob. 18PPSCh. 4.2 - Prob. 19PPSCh. 4.2 - Prob. 20PPSCh. 4.2 - Prob. 21PPSCh. 4.2 - Prob. 22PPSCh. 4.2 - Prob. 23PPSCh. 4.2 - Prob. 24PPSCh. 4.2 - Prob. 25PPSCh. 4.2 - Prob. 26PPSCh. 4.2 - Prob. 27PPSCh. 4.2 - Prob. 28PPSCh. 4.2 - Prob. 29PPSCh. 4.2 - Prob. 30PPSCh. 4.2 - Prob. 31PPSCh. 4.2 - Prob. 32PPSCh. 4.2 - Prob. 33PPSCh. 4.2 - Prob. 34PPSCh. 4.2 - Prob. 35PPSCh. 4.2 - Prob. 36PPSCh. 4.2 - Prob. 37PPSCh. 4.2 - Prob. 38PPSCh. 4.2 - Prob. 39PPSCh. 4.2 - Prob. 40PPSCh. 4.2 - Prob. 41PPSCh. 4.2 - Prob. 42PPSCh. 4.2 - Prob. 43PPSCh. 4.2 - Prob. 44PPSCh. 4.2 - Prob. 45PPSCh. 4.2 - Prob. 46HPCh. 4.2 - Prob. 47HPCh. 4.2 - Prob. 48HPCh. 4.2 - Prob. 49HPCh. 4.2 - Prob. 50HPCh. 4.2 - Prob. 51HPCh. 4.2 - Prob. 52STPCh. 4.2 - Prob. 53STPCh. 4.2 - Prob. 54STPCh. 4.2 - Prob. 55STPCh. 4.2 - Prob. 56SPRCh. 4.2 - Prob. 57SPRCh. 4.2 - Prob. 58SPRCh. 4.2 - Prob. 59SPRCh. 4.2 - Prob. 60SPRCh. 4.2 - Prob. 61SPRCh. 4.2 - Prob. 62SPRCh. 4.2 - Prob. 63SRCh. 4.2 - Prob. 64SRCh. 4.2 - Prob. 65SRCh. 4.2 - Prob. 66SRCh. 4.2 - Prob. 67SRCh. 4.3 - Prob. 1ACYPCh. 4.3 - Prob. 1BCYPCh. 4.3 - Prob. 2CYPCh. 4.3 - Prob. 3CYPCh. 4.3 - Prob. 4CYPCh. 4.3 - Prob. 1CYUCh. 4.3 - Prob. 2CYUCh. 4.3 - Prob. 3CYUCh. 4.3 - Prob. 4CYUCh. 4.3 - Prob. 5CYUCh. 4.3 - Prob. 6CYUCh. 4.3 - Prob. 7CYUCh. 4.3 - Prob. 8CYUCh. 4.3 - Prob. 9CYUCh. 4.3 - Prob. 10PPSCh. 4.3 - Prob. 11PPSCh. 4.3 - Prob. 12PPSCh. 4.3 - Prob. 13PPSCh. 4.3 - Prob. 14PPSCh. 4.3 - Prob. 15PPSCh. 4.3 - Prob. 16PPSCh. 4.3 - Prob. 17PPSCh. 4.3 - Prob. 18PPSCh. 4.3 - Prob. 19PPSCh. 4.3 - Prob. 20PPSCh. 4.3 - Prob. 21PPSCh. 4.3 - Prob. 22PPSCh. 4.3 - Prob. 23PPSCh. 4.3 - Prob. 24PPSCh. 4.3 - Prob. 25PPSCh. 4.3 - Prob. 26PPSCh. 4.3 - Prob. 27PPSCh. 4.3 - Prob. 28PPSCh. 4.3 - Prob. 29PPSCh. 4.3 - Prob. 30PPSCh. 4.3 - Prob. 31PPSCh. 4.3 - Prob. 32PPSCh. 4.3 - Prob. 33PPSCh. 4.3 - Prob. 34PPSCh. 4.3 - Prob. 35PPSCh. 4.3 - Prob. 36HPCh. 4.3 - Prob. 37HPCh. 4.3 - Prob. 38HPCh. 4.3 - Prob. 39HPCh. 4.3 - Prob. 40HPCh. 4.3 - Prob. 41HPCh. 4.3 - Prob. 42HPCh. 4.3 - Prob. 43HPCh. 4.3 - Prob. 44STPCh. 4.3 - Prob. 45STPCh. 4.3 - Prob. 46STPCh. 4.3 - Prob. 47STPCh. 4.3 - Prob. 48SPRCh. 4.3 - Prob. 49SPRCh. 4.3 - Prob. 50SPRCh. 4.3 - Prob. 51SPRCh. 4.3 - Prob. 52SPRCh. 4.3 - Prob. 53SPRCh. 4.3 - Prob. 54SPRCh. 4.3 - Prob. 55SPRCh. 4.3 - Prob. 56SPRCh. 4.3 - Prob. 57SPRCh. 4.3 - Prob. 58SRCh. 4.4 - Prob. 1CYPCh. 4.4 - Prob. 2CYPCh. 4.4 - Prob. 3CYPCh. 4.4 - Prob. 4CYPCh. 4.4 - Prob. 1CYUCh. 4.4 - Prob. 2CYUCh. 4.4 - Prob. 3CYUCh. 4.4 - Prob. 4CYUCh. 4.4 - Prob. 5PPSCh. 4.4 - Prob. 6PPSCh. 4.4 - Prob. 7PPSCh. 4.4 - Prob. 8PPSCh. 4.4 - Prob. 9PPSCh. 4.4 - Prob. 10PPSCh. 4.4 - Prob. 11PPSCh. 4.4 - Prob. 12PPSCh. 4.4 - Prob. 13PPSCh. 4.4 - Prob. 14PPSCh. 4.4 - Prob. 15PPSCh. 4.4 - Prob. 16PPSCh. 4.4 - Prob. 17PPSCh. 4.4 - Prob. 18PPSCh. 4.4 - Prob. 19PPSCh. 4.4 - Prob. 20PPSCh. 4.4 - Prob. 21PPSCh. 4.4 - Prob. 22PPSCh. 4.4 - Prob. 23PPSCh. 4.4 - Prob. 24PPSCh. 4.4 - Prob. 25PPSCh. 4.4 - Prob. 26PPSCh. 4.4 - Prob. 27PPSCh. 4.4 - Prob. 28PPSCh. 4.4 - Prob. 29HPCh. 4.4 - Prob. 30HPCh. 4.4 - Prob. 31HPCh. 4.4 - Prob. 32HPCh. 4.4 - Prob. 33STPCh. 4.4 - Prob. 34STPCh. 4.4 - Prob. 35STPCh. 4.4 - Prob. 36STPCh. 4.4 - Prob. 37STPCh. 4.4 - Prob. 38SPRCh. 4.4 - Prob. 39SPRCh. 4.4 - Prob. 40SPRCh. 4.4 - Prob. 41SPRCh. 4.4 - Prob. 42SPRCh. 4.4 - Prob. 43SPRCh. 4.4 - Prob. 44SPRCh. 4.4 - Prob. 45SPRCh. 4.4 - Prob. 46SRCh. 4.4 - Prob. 47SRCh. 4.4 - Prob. 48SRCh. 4.4 - Prob. 49SRCh. 4.5 - Prob. 1CYPCh. 4.5 - Prob. 2CYPCh. 4.5 - Prob. 3CYPCh. 4.5 - Prob. 1CYUCh. 4.5 - Prob. 2CYUCh. 4.5 - Prob. 3CYUCh. 4.5 - Prob. 4CYUCh. 4.5 - Prob. 5CYUCh. 4.5 - Prob. 6PPSCh. 4.5 - Prob. 7PPSCh. 4.5 - Prob. 8PPSCh. 4.5 - Prob. 9PPSCh. 4.5 - Prob. 10PPSCh. 4.5 - Prob. 11PPSCh. 4.5 - Prob. 12PPSCh. 4.5 - Prob. 13PPSCh. 4.5 - Prob. 14PPSCh. 4.5 - Prob. 15PPSCh. 4.5 - Prob. 16PPSCh. 4.5 - Prob. 17PPSCh. 4.5 - Prob. 18PPSCh. 4.5 - Prob. 19PPSCh. 4.5 - Prob. 20PPSCh. 4.5 - Prob. 21PPSCh. 4.5 - Prob. 22HPCh. 4.5 - Prob. 23HPCh. 4.5 - Prob. 24HPCh. 4.5 - Prob. 25HPCh. 4.5 - Prob. 26HPCh. 4.5 - Prob. 27STPCh. 4.5 - Prob. 28STPCh. 4.5 - Prob. 29STPCh. 4.5 - Prob. 30STPCh. 4.5 - Prob. 31SPRCh. 4.5 - Prob. 32SPRCh. 4.5 - Prob. 33SPRCh. 4.5 - Prob. 34SPRCh. 4.5 - Prob. 35SPRCh. 4.5 - Prob. 36SPRCh. 4.5 - Prob. 37SRCh. 4.5 - Prob. 38SRCh. 4.6 - Prob. 1ACYPCh. 4.6 - Prob. 1BCYPCh. 4.6 - Prob. 2ACYPCh. 4.6 - Prob. 2BCYPCh. 4.6 - Prob. 3CYPCh. 4.6 - Prob. 4CYPCh. 4.6 - Prob. 1CYUCh. 4.6 - Prob. 2CYUCh. 4.6 - Prob. 3CYUCh. 4.6 - Prob. 4CYUCh. 4.6 - Prob. 5CYUCh. 4.6 - Prob. 6CYUCh. 4.6 - Prob. 7CYUCh. 4.6 - Prob. 8CYUCh. 4.6 - Prob. 9PPSCh. 4.6 - Prob. 10PPSCh. 4.6 - Prob. 11PPSCh. 4.6 - Prob. 12PPSCh. 4.6 - Prob. 13PPSCh. 4.6 - Prob. 14PPSCh. 4.6 - Prob. 15PPSCh. 4.6 - Prob. 16PPSCh. 4.6 - Prob. 17PPSCh. 4.6 - Prob. 18PPSCh. 4.6 - Prob. 19PPSCh. 4.6 - Prob. 20PPSCh. 4.6 - Prob. 21PPSCh. 4.6 - Prob. 22PPSCh. 4.6 - Prob. 23PPSCh. 4.6 - Prob. 24PPSCh. 4.6 - Prob. 25PPSCh. 4.6 - Prob. 26PPSCh. 4.6 - Prob. 27PPSCh. 4.6 - Prob. 28PPSCh. 4.6 - Prob. 29PPSCh. 4.6 - Prob. 30PPSCh. 4.6 - Prob. 31PPSCh. 4.6 - Prob. 32PPSCh. 4.6 - Prob. 33PPSCh. 4.6 - Prob. 34PPSCh. 4.6 - Prob. 35PPSCh. 4.6 - Prob. 36PPSCh. 4.6 - Prob. 37PPSCh. 4.6 - Prob. 38PPSCh. 4.6 - Prob. 39PPSCh. 4.6 - Prob. 40PPSCh. 4.6 - Prob. 41PPSCh. 4.6 - Prob. 42PPSCh. 4.6 - Prob. 43PPSCh. 4.6 - Prob. 44PPSCh. 4.6 - Prob. 45HPCh. 4.6 - Prob. 46HPCh. 4.6 - Prob. 47HPCh. 4.6 - Prob. 48HPCh. 4.6 - Prob. 49HPCh. 4.6 - Prob. 50HPCh. 4.6 - Prob. 51HPCh. 4.6 - Prob. 52STPCh. 4.6 - Prob. 53STPCh. 4.6 - Prob. 54STPCh. 4.6 - Prob. 55STPCh. 4.6 - Prob. 56SPRCh. 4.6 - Prob. 57SPRCh. 4.6 - Prob. 58SPRCh. 4.6 - Prob. 59SPRCh. 4.6 - Prob. 60SPRCh. 4.6 - Prob. 61SPRCh. 4.6 - Prob. 62SPRCh. 4.6 - Prob. 63SPRCh. 4.6 - Prob. 64SPRCh. 4.6 - Prob. 65SPRCh. 4.6 - Prob. 66SPRCh. 4.6 - Prob. 67SRCh. 4.7 - Prob. 1ACYPCh. 4.7 - Prob. 1BCYPCh. 4.7 - Prob. 1CCYPCh. 4.7 - Prob. 2ACYPCh. 4.7 - Prob. 2BCYPCh. 4.7 - Prob. 3CYPCh. 4.7 - Prob. 1CYUCh. 4.7 - Prob. 2CYUCh. 4.7 - Prob. 3CYUCh. 4.7 - Prob. 4CYUCh. 4.7 - Prob. 5CYUCh. 4.7 - Prob. 6CYUCh. 4.7 - Prob. 7PPSCh. 4.7 - Prob. 8PPSCh. 4.7 - Prob. 9PPSCh. 4.7 - Prob. 10PPSCh. 4.7 - Prob. 11PPSCh. 4.7 - Prob. 12PPSCh. 4.7 - Prob. 13PPSCh. 4.7 - Prob. 14PPSCh. 4.7 - Prob. 15PPSCh. 4.7 - Prob. 16PPSCh. 4.7 - Prob. 17PPSCh. 4.7 - Prob. 18PPSCh. 4.7 - Prob. 19PPSCh. 4.7 - Prob. 20PPSCh. 4.7 - Prob. 21PPSCh. 4.7 - Prob. 22PPSCh. 4.7 - Prob. 23PPSCh. 4.7 - Prob. 24PPSCh. 4.7 - Prob. 25PPSCh. 4.7 - Prob. 26PPSCh. 4.7 - Prob. 27PPSCh. 4.7 - Prob. 28PPSCh. 4.7 - Prob. 29PPSCh. 4.7 - Prob. 30PPSCh. 4.7 - Prob. 31HPCh. 4.7 - Prob. 32HPCh. 4.7 - Prob. 33HPCh. 4.7 - Prob. 34HPCh. 4.7 - Prob. 35HPCh. 4.7 - Prob. 36HPCh. 4.7 - Prob. 37STPCh. 4.7 - Prob. 38STPCh. 4.7 - Prob. 39STPCh. 4.7 - Prob. 40STPCh. 4.7 - Prob. 41SPRCh. 4.7 - Prob. 42SPRCh. 4.7 - Prob. 43SPRCh. 4.7 - Prob. 44SPRCh. 4.7 - Prob. 45SPRCh. 4.7 - Prob. 46SRCh. 4.7 - Prob. 47SRCh. 4.7 - Prob. 48SRCh. 4.7 - Prob. 49SRCh. 4.7 - Prob. 50SRCh. 4.7 - Prob. 51SRCh. 4.8 - Prob. 1CYPCh. 4.8 - Prob. 2CYPCh. 4.8 - Prob. 3CYPCh. 4.8 - Prob. 4CYPCh. 4.8 - Prob. 1CYUCh. 4.8 - Prob. 2CYUCh. 4.8 - Prob. 3CYUCh. 4.8 - Prob. 4CYUCh. 4.8 - Prob. 5CYUCh. 4.8 - Prob. 6CYUCh. 4.8 - Prob. 7PPSCh. 4.8 - Prob. 8PPSCh. 4.8 - Prob. 9PPSCh. 4.8 - Prob. 10PPSCh. 4.8 - Prob. 11PPSCh. 4.8 - Prob. 12PPSCh. 4.8 - Prob. 13PPSCh. 4.8 - Prob. 14PPSCh. 4.8 - Prob. 15PPSCh. 4.8 - Prob. 16PPSCh. 4.8 - Prob. 17PPSCh. 4.8 - Prob. 18PPSCh. 4.8 - Prob. 19PPSCh. 4.8 - Prob. 20PPSCh. 4.8 - Prob. 21PPSCh. 4.8 - Prob. 22PPSCh. 4.8 - Prob. 23PPSCh. 4.8 - Prob. 24PPSCh. 4.8 - Prob. 25PPSCh. 4.8 - Prob. 26PPSCh. 4.8 - Prob. 27PPSCh. 4.8 - Prob. 28PPSCh. 4.8 - Prob. 29PPSCh. 4.8 - Prob. 30HPCh. 4.8 - Prob. 31HPCh. 4.8 - Prob. 32HPCh. 4.8 - Prob. 33HPCh. 4.8 - Prob. 34HPCh. 4.8 - Prob. 35HPCh. 4.8 - Prob. 36HPCh. 4.8 - Prob. 37HPCh. 4.8 - Prob. 38STPCh. 4.8 - Prob. 39STPCh. 4.8 - Prob. 40STPCh. 4.8 - Prob. 41STPCh. 4.8 - Prob. 42SPRCh. 4.8 - Prob. 43SPRCh. 4.8 - Prob. 44SPRCh. 4.8 - Prob. 45SPRCh. 4.8 - Prob. 46SPRCh. 4.8 - Prob. 47SPRCh. 4.8 - Prob. 48SPRCh. 4.8 - Prob. 49SRCh. 4.8 - Prob. 50SRCh. 4.8 - Prob. 51SRCh. 4 - Prob. 1GRFCCh. 4 - Prob. 2GRFCCh. 4 - Prob. 3GRFCCh. 4 - Prob. 4GRFCCh. 4 - Prob. 5GRFCCh. 4 - Prob. 6GRFCCh. 4 - Prob. 7GRFCCh. 4 - Prob. 8GRFCCh. 4 - Prob. 9GRFCCh. 4 - Prob. 10GRFCCh. 4 - Prob. 11GRFCCh. 4 - Prob. 1MCQCh. 4 - Prob. 2MCQCh. 4 - Prob. 3MCQCh. 4 - Prob. 4MCQCh. 4 - Prob. 5MCQCh. 4 - Prob. 6MCQCh. 4 - Prob. 7MCQCh. 4 - Prob. 8MCQCh. 4 - Prob. 9MCQCh. 4 - Prob. 10MCQCh. 4 - Prob. 11MCQCh. 4 - Prob. 12MCQCh. 4 - Prob. 13MCQCh. 4 - Prob. 14MCQCh. 4 - Prob. 15MCQCh. 4 - Prob. 16MCQCh. 4 - Prob. 17MCQCh. 4 - Prob. 18MCQCh. 4 - Prob. 19MCQCh. 4 - Prob. 20MCQCh. 4 - Prob. 1SGRCh. 4 - Prob. 2SGRCh. 4 - Prob. 3SGRCh. 4 - Prob. 4SGRCh. 4 - Prob. 5SGRCh. 4 - Prob. 6SGRCh. 4 - Prob. 7SGRCh. 4 - Prob. 8SGRCh. 4 - Prob. 9SGRCh. 4 - Prob. 10SGRCh. 4 - Prob. 11SGRCh. 4 - Prob. 12SGRCh. 4 - Prob. 13SGRCh. 4 - Prob. 14SGRCh. 4 - Prob. 15SGRCh. 4 - Prob. 16SGRCh. 4 - Prob. 17SGRCh. 4 - Prob. 18SGRCh. 4 - Prob. 19SGRCh. 4 - Prob. 20SGRCh. 4 - Prob. 21SGRCh. 4 - Prob. 22SGRCh. 4 - Prob. 23SGRCh. 4 - Prob. 24SGRCh. 4 - Prob. 25SGRCh. 4 - Prob. 26SGRCh. 4 - Prob. 27SGRCh. 4 - Prob. 28SGRCh. 4 - Prob. 29SGRCh. 4 - Prob. 30SGRCh. 4 - Prob. 31SGRCh. 4 - Prob. 32SGRCh. 4 - Prob. 33SGRCh. 4 - Prob. 34SGRCh. 4 - Prob. 35SGRCh. 4 - Prob. 36SGRCh. 4 - Prob. 37SGRCh. 4 - Prob. 38SGRCh. 4 - Prob. 39SGRCh. 4 - Prob. 40SGRCh. 4 - Prob. 41SGRCh. 4 - Prob. 1PTCh. 4 - Prob. 2PTCh. 4 - Prob. 3PTCh. 4 - Prob. 4PTCh. 4 - Prob. 5PTCh. 4 - Prob. 6PTCh. 4 - Prob. 7PTCh. 4 - Prob. 8PTCh. 4 - Prob. 9PTCh. 4 - Prob. 10PTCh. 4 - Prob. 11PTCh. 4 - Prob. 12PTCh. 4 - Prob. 13PTCh. 4 - Prob. 14PTCh. 4 - Prob. 15PTCh. 4 - Prob. 16PTCh. 4 - Prob. 17PTCh. 4 - Prob. 18PTCh. 4 - Prob. 19PTCh. 4 - Prob. 20PTCh. 4 - Prob. 1PSTCh. 4 - Prob. 2PSTCh. 4 - Prob. 3PSTCh. 4 - Prob. 4PSTCh. 4 - Prob. 5PSTCh. 4 - Prob. 6PSTCh. 4 - Prob. 7PSTCh. 4 - Prob. 8PSTCh. 4 - Prob. 9PSTCh. 4 - Prob. 10PSTCh. 4 - Prob. 11PSTCh. 4 - Prob. 12PSTCh. 4 - Prob. 13PSTCh. 4 - Prob. 14PSTCh. 4 - Prob. 15PST

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