Pre-Algebra Student Edition
Pre-Algebra Student Edition
1st Edition
ISBN: 9780078957734
Author: Glencoe/McGraw-Hill
Publisher: MCG
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Chapter 6.8, Problem 23HP
To determine

To find: The pair of points that does not represents dilation with center at origin.

Expert Solution & Answer
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Answer to Problem 23HP

Pair C(2,5)C`(4,7)does not follow the said dilation as the y coordinate of imaged coordinate C ` are 7 that should be 10.

Explanation of Solution

Given information

Following pair of points are given:

  Pre-Algebra Student Edition, Chapter 6.8, Problem 23HP

Concept used:

By rule, in dilation with center at origin, each original coordinate (x,y) is changed as:

  (x,y)(cx,cy)

Where, c is the scale factor of dilation.

Calculation: Now, in first pair,

  A(2,3)A`(2×2,2×3)

Or, applied scale factor is 2.

Similarly, in second pair,

  B(4,6)B`(12×4,12×6)=B`(2,3)

or, applied scale factor is 12 .

In third pair,

  C(2,5)C`(2×2,2×5)=C`(4,10)

So, scale factor to be applied here is 2.

And in four pair of points,

  D(2,4)D`(12×2,12×4)=D`(1,2)

Or applied scale factor is 12 .

Above calculation, it is cleared that in third pair of points, the imaged point C` is not following the proper dilation with scale factor 2. So, the pair C(2,5)C`(4,7) does not belong to said dilation.

Chapter 6 Solutions

Pre-Algebra Student Edition

Ch. 6.1 - Prob. 8CYUCh. 6.1 - Prob. 9CYUCh. 6.1 - Prob. 10PPSCh. 6.1 - Prob. 11PPSCh. 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. 33HPCh. 6.1 - Prob. 34HPCh. 6.1 - Prob. 35HPCh. 6.1 - Prob. 36HPCh. 6.1 - Prob. 37HPCh. 6.1 - Prob. 38HPCh. 6.1 - Prob. 39STPCh. 6.1 - Prob. 40STPCh. 6.1 - Prob. 41STPCh. 6.1 - Prob. 42STPCh. 6.1 - Prob. 43SRCh. 6.1 - Prob. 44SRCh. 6.1 - Prob. 45SRCh. 6.1 - Prob. 46SRCh. 6.1 - Prob. 47SRCh. 6.1 - Prob. 48SRCh. 6.1 - Prob. 49SRCh. 6.1 - Prob. 50SRCh. 6.1 - Prob. 51SRCh. 6.1 - Prob. 52SRCh. 6.1 - Prob. 53SRCh. 6.1 - Prob. 54SRCh. 6.1 - Prob. 55SRCh. 6.1 - Prob. 56SRCh. 6.1 - 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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. 38HPCh. 6.5 - Prob. 39HPCh. 6.5 - Prob. 40HPCh. 6.5 - Prob. 41HPCh. 6.5 - Prob. 42HPCh. 6.5 - Prob. 43HPCh. 6.5 - Prob. 44STPCh. 6.5 - Prob. 45STPCh. 6.5 - Prob. 46STPCh. 6.5 - Prob. 47STPCh. 6.5 - Prob. 48SRCh. 6.5 - Prob. 49SRCh. 6.5 - Prob. 50SRCh. 6.5 - Prob. 51SRCh. 6.5 - Prob. 52SRCh. 6.5 - Prob. 53SCh. 6.5 - Prob. 54SCh. 6.5 - Prob. 55SCh. 6.5 - Prob. 56SCh. 6.6 - Prob. 1GPCh. 6.6 - Prob. 2GPCh. 6.6 - Prob. 3GPCh. 6.6 - Prob. 1CYUCh. 6.6 - Prob. 2CYUCh. 6.6 - Prob. 3CYUCh. 6.6 - Prob. 4PPSCh. 6.6 - Prob. 5PPSCh. 6.6 - Prob. 6PPSCh. 6.6 - Prob. 7PPSCh. 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. 19HPCh. 6.6 - Prob. 20HPCh. 6.6 - Prob. 21HPCh. 6.6 - Prob. 22HPCh. 6.6 - Prob. 23HPCh. 6.6 - Prob. 24HPCh. 6.6 - Prob. 25STPCh. 6.6 - Prob. 26STPCh. 6.6 - Prob. 27STPCh. 6.6 - Prob. 28STPCh. 6.6 - Prob. 29SRCh. 6.6 - Prob. 30SRCh. 6.6 - Prob. 31SRCh. 6.6 - Prob. 32SRCh. 6.6 - Prob. 33SRCh. 6.6 - Prob. 34SRCh. 6.6 - Prob. 35SRCh. 6.6 - Prob. 36SRCh. 6.6 - Prob. 37SCh. 6.6 - Prob. 38SCh. 6.6 - Prob. 39SCh. 6.6 - Prob. 40SCh. 6.6 - Prob. 41SCh. 6.6 - Prob. 42SCh. 6.7 - Prob. 1AGPCh. 6.7 - Prob. 1BGPCh. 6.7 - Prob. 2GPCh. 6.7 - Prob. 1CYUCh. 6.7 - Prob. 2CYUCh. 6.7 - Prob. 3CYUCh. 6.7 - Prob. 4PPSCh. 6.7 - Prob. 5PPSCh. 6.7 - Prob. 6PPSCh. 6.7 - Prob. 7PPSCh. 6.7 - Prob. 8PPSCh. 6.7 - Prob. 9PPSCh. 6.7 - 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Prob. 25STPCh. 6.8 - Prob. 26STPCh. 6.8 - Prob. 27STPCh. 6.8 - Prob. 28STPCh. 6.8 - Prob. 29SRCh. 6.8 - Prob. 30SRCh. 6.8 - Prob. 31SRCh. 6.8 - Prob. 32SRCh. 6.8 - Prob. 33SCh. 6.8 - Prob. 34SCh. 6.8 - Prob. 35SCh. 6.8 - Prob. 36SCh. 6.9 - Prob. 1GPCh. 6.9 - Prob. 2GPCh. 6.9 - Prob. 1CYUCh. 6.9 - Prob. 2CYUCh. 6.9 - Prob. 3PPSCh. 6.9 - Prob. 4PPSCh. 6.9 - Prob. 5PPSCh. 6.9 - Prob. 6PPSCh. 6.9 - Prob. 7PPSCh. 6.9 - Prob. 8PPSCh. 6.9 - Prob. 9PPSCh. 6.9 - Prob. 10PPSCh. 6.9 - Prob. 11PPSCh. 6.9 - Prob. 12PPSCh. 6.9 - Prob. 13PPSCh. 6.9 - Prob. 14PPSCh. 6.9 - Prob. 15HPCh. 6.9 - Prob. 16HPCh. 6.9 - Prob. 17HPCh. 6.9 - Prob. 18HPCh. 6.9 - Prob. 19STPCh. 6.9 - Prob. 20STPCh. 6.9 - Prob. 21STPCh. 6.9 - Prob. 22STPCh. 6.9 - Prob. 23SRCh. 6.9 - Prob. 24SRCh. 6.9 - Prob. 25SRCh. 6.9 - Prob. 26SCh. 6.9 - Prob. 27SCh. 6.9 - Prob. 28SCh. 6.9 - Prob. 29SCh. 6 - Prob. 1QCCh. 6 - Prob. 2QCCh. 6 - Prob. 3QCCh. 6 - Prob. 4QCCh. 6 - Prob. 5QCCh. 6 - Prob. 6QCCh. 6 - Prob. 7QCCh. 6 - Prob. 8QCCh. 6 - Prob. 9QCCh. 6 - 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