Geometry, Student Edition
1st Edition
ISBN: 9780078884849
Author: McGraw-Hill, McGraw Hill
Publisher: Glencoe/McGraw-Hill School Pub Co
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Question
Chapter 9.6, Problem 39HP
(a)
To determine
Whether invariant points are sometimes, never or always maintained for the transformation described. If so describe the invariant points. If not, explain why the invariant points are not possible.
(a)
Expert Solution
Answer to Problem 39HP
Sometimes.
Explanation of Solution
Given:Dilation of
Invariant points are the points that do not change during the transformation.
Here
The dilation is centered at the origin.
Therefore the points are sometimes invariant.
(b)
To determine
Whether invariant points are sometimes, never or always maintained for the transformation described. If so describe the invariant points. If not, explain why the invariant points are not possible.
(b)
Expert Solution
Answer to Problem 39HP
Always.
Explanation of Solution
Given:Dilation of
Dilation with the scale factor
The points will remain same where they are regardless of the point of dilation.
The points are always invariant.
(c)
To determine
Whether invariant points are sometimes, never or always maintained for the transformation described. If so describe the invariant points. If not, explain why the invariant points are not possible.
(c)
Expert Solution
Answer to Problem 39HP
Always.
Explanation of Solution
Given:Rotation of
The point
(d)
To determine
Whether invariant points are sometimes, never or always maintained for the transformation described. If so describe the invariant points. If not, explain why the invariant points are not possible.
(d)
Expert Solution
Answer to Problem 39HP
Sometimes.
Explanation of Solution
Given:Reflection of
Reflection of
This is sometimes be true.
(e)
To determine
Whether invariant points are sometimes, never or always maintained for the transformation described. If so describe the invariant points. If not, explain why the invariant points are not possible.
(e)
Expert Solution
Answer to Problem 39HP
Never.
Explanation of Solution
Given:Translation of
Translation of
Here,
The translation is never has invariant points as it will move the same direction and magnitude.
Chapter 9 Solutions
Geometry, Student Edition
Ch. 9.1 - Prob. 1ACYPCh. 9.1 - Prob. 1BCYPCh. 9.1 - Prob. 1CCYPCh. 9.1 - Prob. 2CYPCh. 9.1 - Prob. 3ACYPCh. 9.1 - Prob. 3BCYPCh. 9.1 - Prob. 4ACYPCh. 9.1 - Prob. 4BCYPCh. 9.1 - Prob. 5CYPCh. 9.1 - Prob. 1CYU
Ch. 9.1 - Prob. 2CYUCh. 9.1 - Prob. 3CYUCh. 9.1 - Prob. 4CYUCh. 9.1 - Prob. 5CYUCh. 9.1 - Prob. 6CYUCh. 9.1 - Prob. 7CYUCh. 9.1 - Prob. 8CYUCh. 9.1 - Prob. 9CYUCh. 9.1 - Prob. 10PPSCh. 9.1 - Prob. 11PPSCh. 9.1 - Prob. 12PPSCh. 9.1 - Prob. 13PPSCh. 9.1 - Prob. 14PPSCh. 9.1 - Prob. 15PPSCh. 9.1 - Prob. 16PPSCh. 9.1 - Prob. 17PPSCh. 9.1 - Prob. 18PPSCh. 9.1 - Prob. 19PPSCh. 9.1 - Prob. 20PPSCh. 9.1 - Prob. 21PPSCh. 9.1 - Prob. 22PPSCh. 9.1 - Prob. 23PPSCh. 9.1 - Prob. 24PPSCh. 9.1 - Prob. 25PPSCh. 9.1 - Prob. 26PPSCh. 9.1 - Prob. 27PPSCh. 9.1 - Prob. 28PPSCh. 9.1 - Prob. 29PPSCh. 9.1 - Prob. 30PPSCh. 9.1 - Prob. 31PPSCh. 9.1 - Prob. 32PPSCh. 9.1 - Prob. 33PPSCh. 9.1 - Prob. 34PPSCh. 9.1 - Prob. 35PPSCh. 9.1 - Prob. 36PPSCh. 9.1 - Prob. 37PPSCh. 9.1 - Prob. 38PPSCh. 9.1 - Prob. 39PPSCh. 9.1 - Prob. 40PPSCh. 9.1 - Prob. 41PPSCh. 9.1 - Prob. 42PPSCh. 9.1 - Prob. 43PPSCh. 9.1 - Prob. 44PPSCh. 9.1 - Prob. 45HPCh. 9.1 - Prob. 46HPCh. 9.1 - Prob. 47HPCh. 9.1 - Prob. 48HPCh. 9.1 - Prob. 49HPCh. 9.1 - Prob. 50HPCh. 9.1 - Prob. 51HPCh. 9.1 - Prob. 52STPCh. 9.1 - Prob. 53STPCh. 9.1 - Prob. 54STPCh. 9.1 - Prob. 55STPCh. 9.1 - Prob. 56SPRCh. 9.1 - Prob. 57SPRCh. 9.1 - Prob. 58SPRCh. 9.1 - Prob. 59SPRCh. 9.1 - Prob. 60SPRCh. 9.1 - Prob. 61SPRCh. 9.1 - Prob. 62SRCh. 9.1 - Prob. 63SRCh. 9.1 - Prob. 64SRCh. 9.1 - Prob. 65SRCh. 9.1 - Prob. 66SRCh. 9.1 - Prob. 67SRCh. 9.2 - Prob. 1ACYPCh. 9.2 - Prob. 1BCYPCh. 9.2 - Prob. 2ACYPCh. 9.2 - Prob. 2BCYPCh. 9.2 - Prob. 3CYPCh. 9.2 - Prob. 1CYUCh. 9.2 - Prob. 2CYUCh. 9.2 - Prob. 3CYUCh. 9.2 - Prob. 4CYUCh. 9.2 - Prob. 5CYUCh. 9.2 - Prob. 6CYUCh. 9.2 - Prob. 7CYUCh. 9.2 - Prob. 8PPSCh. 9.2 - Prob. 9PPSCh. 9.2 - Prob. 10PPSCh. 9.2 - Prob. 11PPSCh. 9.2 - Prob. 12PPSCh. 9.2 - Prob. 13PPSCh. 9.2 - Prob. 14PPSCh. 9.2 - Prob. 15PPSCh. 9.2 - Prob. 16PPSCh. 9.2 - Prob. 17PPSCh. 9.2 - Prob. 18PPSCh. 9.2 - Prob. 19PPSCh. 9.2 - Prob. 20PPSCh. 9.2 - Prob. 21PPSCh. 9.2 - Prob. 22PPSCh. 9.2 - Prob. 23PPSCh. 9.2 - Prob. 24PPSCh. 9.2 - Prob. 25PPSCh. 9.2 - Prob. 26PPSCh. 9.2 - Prob. 27PPSCh. 9.2 - Prob. 28PPSCh. 9.2 - Prob. 29PPSCh. 9.2 - Prob. 30HPCh. 9.2 - Prob. 31HPCh. 9.2 - Prob. 32HPCh. 9.2 - Prob. 33HPCh. 9.2 - Prob. 34HPCh. 9.2 - Prob. 35STPCh. 9.2 - Prob. 36STPCh. 9.2 - Prob. 37STPCh. 9.2 - Prob. 38STPCh. 9.2 - Prob. 39SPRCh. 9.2 - Prob. 40SPRCh. 9.2 - Prob. 41SPRCh. 9.2 - Prob. 42SPRCh. 9.2 - Prob. 43SPRCh. 9.2 - Prob. 44SPRCh. 9.2 - Prob. 45SPRCh. 9.2 - Prob. 46SPRCh. 9.2 - Prob. 47SPRCh. 9.2 - Prob. 48SPRCh. 9.2 - Prob. 49SPRCh. 9.2 - Prob. 50SPRCh. 9.2 - Prob. 51SRCh. 9.2 - Prob. 52SRCh. 9.2 - Prob. 53SRCh. 9.2 - Prob. 54SRCh. 9.3 - Prob. 1ACYPCh. 9.3 - Prob. 1BCYPCh. 9.3 - Prob. 2CYPCh. 9.3 - Prob. 3CYPCh. 9.3 - Prob. 1CYUCh. 9.3 - Prob. 2CYUCh. 9.3 - Prob. 3CYUCh. 9.3 - Prob. 4CYUCh. 9.3 - Prob. 5PPSCh. 9.3 - Prob. 6PPSCh. 9.3 - Prob. 7PPSCh. 9.3 - Prob. 8PPSCh. 9.3 - Prob. 9PPSCh. 9.3 - Prob. 10PPSCh. 9.3 - Prob. 11PPSCh. 9.3 - Prob. 12PPSCh. 9.3 - Prob. 13PPSCh. 9.3 - Prob. 14PPSCh. 9.3 - Prob. 15PPSCh. 9.3 - Prob. 16PPSCh. 9.3 - Prob. 17PPSCh. 9.3 - Prob. 18PPSCh. 9.3 - Prob. 19PPSCh. 9.3 - Prob. 20PPSCh. 9.3 - Prob. 21PPSCh. 9.3 - Prob. 22PPSCh. 9.3 - Prob. 23PPSCh. 9.3 - Prob. 24PPSCh. 9.3 - Prob. 25PPSCh. 9.3 - Prob. 26PPSCh. 9.3 - Prob. 27PPSCh. 9.3 - Prob. 28PPSCh. 9.3 - Prob. 29PPSCh. 9.3 - Prob. 30PPSCh. 9.3 - Prob. 31PPSCh. 9.3 - Prob. 32PPSCh. 9.3 - Prob. 33PPSCh. 9.3 - Prob. 34HPCh. 9.3 - Prob. 35HPCh. 9.3 - Prob. 36HPCh. 9.3 - Prob. 37HPCh. 9.3 - Prob. 38HPCh. 9.3 - Prob. 39HPCh. 9.3 - Prob. 40STPCh. 9.3 - Prob. 41STPCh. 9.3 - Prob. 42STPCh. 9.3 - Prob. 43SPRCh. 9.3 - Prob. 44SPRCh. 9.3 - Prob. 45SPRCh. 9.3 - Prob. 46SPRCh. 9.3 - Prob. 47SRCh. 9.3 - Prob. 48SRCh. 9.3 - Prob. 49SRCh. 9.4 - Prob. 1ACYPCh. 9.4 - Prob. 1BCYPCh. 9.4 - Prob. 2ACYPCh. 9.4 - Prob. 2BCYPCh. 9.4 - Prob. 3ACYPCh. 9.4 - Prob. 3BCYPCh. 9.4 - Prob. 4CYPCh. 9.4 - Prob. 1CYUCh. 9.4 - Prob. 2CYUCh. 9.4 - Prob. 3CYUCh. 9.4 - Prob. 4CYUCh. 9.4 - Prob. 5CYUCh. 9.4 - Prob. 6CYUCh. 9.4 - Prob. 7PPSCh. 9.4 - Prob. 8PPSCh. 9.4 - Prob. 9PPSCh. 9.4 - Prob. 10PPSCh. 9.4 - Prob. 11PPSCh. 9.4 - Prob. 12PPSCh. 9.4 - Prob. 13PPSCh. 9.4 - Prob. 14PPSCh. 9.4 - Prob. 15PPSCh. 9.4 - Prob. 16PPSCh. 9.4 - Prob. 17PPSCh. 9.4 - Prob. 18PPSCh. 9.4 - Prob. 19PPSCh. 9.4 - Prob. 20PPSCh. 9.4 - Prob. 21PPSCh. 9.4 - Prob. 22PPSCh. 9.4 - Prob. 23PPSCh. 9.4 - Prob. 24PPSCh. 9.4 - Prob. 25PPSCh. 9.4 - Prob. 26PPSCh. 9.4 - Prob. 27PPSCh. 9.4 - Prob. 28PPSCh. 9.4 - Prob. 29PPSCh. 9.4 - Prob. 30PPSCh. 9.4 - Prob. 31PPSCh. 9.4 - Prob. 32PPSCh. 9.4 - Prob. 33PPSCh. 9.4 - Prob. 34PPSCh. 9.4 - Prob. 35PPSCh. 9.4 - Prob. 36PPSCh. 9.4 - Prob. 37PPSCh. 9.4 - Prob. 38HPCh. 9.4 - Prob. 39HPCh. 9.4 - Prob. 40HPCh. 9.4 - Prob. 41HPCh. 9.4 - Prob. 42HPCh. 9.4 - Prob. 43HPCh. 9.4 - Prob. 44HPCh. 9.4 - Prob. 45HPCh. 9.4 - Prob. 46HPCh. 9.4 - Prob. 47HPCh. 9.4 - Prob. 48HPCh. 9.4 - Prob. 49SPRCh. 9.4 - Prob. 50SPRCh. 9.4 - Prob. 51SPRCh. 9.4 - Prob. 52SPRCh. 9.4 - Prob. 53SPRCh. 9.4 - Prob. 54SPRCh. 9.4 - Prob. 55SRCh. 9.4 - Prob. 56SRCh. 9.4 - Prob. 57SRCh. 9.5 - Prob. 1ACYPCh. 9.5 - Prob. 1BCYPCh. 9.5 - Prob. 1CCYPCh. 9.5 - Prob. 2ACYPCh. 9.5 - Prob. 2BCYPCh. 9.5 - Prob. 2CCYPCh. 9.5 - Prob. 3ACYPCh. 9.5 - Prob. 3BCYPCh. 9.5 - Prob. 3CCYPCh. 9.5 - Prob. 3DCYPCh. 9.5 - Prob. 1CYUCh. 9.5 - Prob. 2CYUCh. 9.5 - Prob. 3CYUCh. 9.5 - Prob. 4CYUCh. 9.5 - Prob. 5CYUCh. 9.5 - Prob. 6CYUCh. 9.5 - Prob. 7CYUCh. 9.5 - Prob. 8CYUCh. 9.5 - Prob. 9PPSCh. 9.5 - Prob. 10PPSCh. 9.5 - Prob. 11PPSCh. 9.5 - Prob. 12PPSCh. 9.5 - Prob. 13PPSCh. 9.5 - Prob. 14PPSCh. 9.5 - Prob. 15PPSCh. 9.5 - Prob. 16PPSCh. 9.5 - Prob. 17PPSCh. 9.5 - Prob. 18PPSCh. 9.5 - Prob. 19PPSCh. 9.5 - Prob. 20PPSCh. 9.5 - Prob. 21PPSCh. 9.5 - Prob. 22PPSCh. 9.5 - Prob. 23PPSCh. 9.5 - Prob. 24PPSCh. 9.5 - Prob. 25PPSCh. 9.5 - Prob. 26PPSCh. 9.5 - Prob. 27PPSCh. 9.5 - Prob. 28PPSCh. 9.5 - Prob. 29PPSCh. 9.5 - Prob. 30PPSCh. 9.5 - Prob. 31PPSCh. 9.5 - Prob. 32PPSCh. 9.5 - Prob. 33PPSCh. 9.5 - Prob. 34PPSCh. 9.5 - Prob. 35PPSCh. 9.5 - Prob. 36PPSCh. 9.5 - Prob. 37PPSCh. 9.5 - Prob. 38PPSCh. 9.5 - Prob. 39PPSCh. 9.5 - Prob. 40PPSCh. 9.5 - Prob. 41PPSCh. 9.5 - Prob. 42PPSCh. 9.5 - Prob. 43PPSCh. 9.5 - Prob. 44PPSCh. 9.5 - Prob. 45PPSCh. 9.5 - Prob. 46HPCh. 9.5 - Prob. 47HPCh. 9.5 - Prob. 48HPCh. 9.5 - Prob. 49HPCh. 9.5 - Prob. 50HPCh. 9.5 - Prob. 51STPCh. 9.5 - Prob. 52STPCh. 9.5 - Prob. 53STPCh. 9.5 - Prob. 54STPCh. 9.5 - Prob. 55SPRCh. 9.5 - Prob. 56SPRCh. 9.5 - Prob. 57SPRCh. 9.5 - Prob. 58SPRCh. 9.5 - Prob. 59SRCh. 9.5 - Prob. 60SRCh. 9.5 - Prob. 61SRCh. 9.6 - Prob. 1ACYPCh. 9.6 - Prob. 1BCYPCh. 9.6 - Prob. 2CYPCh. 9.6 - Prob. 3ACYPCh. 9.6 - Prob. 3BCYPCh. 9.6 - Prob. 1CYUCh. 9.6 - Prob. 2CYUCh. 9.6 - Prob. 3CYUCh. 9.6 - Prob. 4CYUCh. 9.6 - Prob. 5CYUCh. 9.6 - Prob. 6CYUCh. 9.6 - Prob. 7CYUCh. 9.6 - Prob. 8CYUCh. 9.6 - Prob. 9PPSCh. 9.6 - Prob. 10PPSCh. 9.6 - Prob. 11PPSCh. 9.6 - Prob. 12PPSCh. 9.6 - Prob. 13PPSCh. 9.6 - Prob. 14PPSCh. 9.6 - Prob. 15PPSCh. 9.6 - Prob. 16PPSCh. 9.6 - Prob. 17PPSCh. 9.6 - Prob. 18PPSCh. 9.6 - Prob. 19PPSCh. 9.6 - Prob. 20PPSCh. 9.6 - Prob. 21PPSCh. 9.6 - Prob. 22PPSCh. 9.6 - Prob. 23PPSCh. 9.6 - Prob. 24PPSCh. 9.6 - Prob. 25PPSCh. 9.6 - Prob. 26PPSCh. 9.6 - Prob. 27PPSCh. 9.6 - Prob. 28PPSCh. 9.6 - Prob. 29PPSCh. 9.6 - Prob. 30PPSCh. 9.6 - Prob. 31PPSCh. 9.6 - Prob. 32PPSCh. 9.6 - Prob. 33PPSCh. 9.6 - Prob. 34PPSCh. 9.6 - Prob. 35PPSCh. 9.6 - Prob. 36PPSCh. 9.6 - Prob. 37HPCh. 9.6 - Prob. 38HPCh. 9.6 - Prob. 39HPCh. 9.6 - Prob. 40HPCh. 9.6 - Prob. 41HPCh. 9.6 - Prob. 42STPCh. 9.6 - Prob. 43STPCh. 9.6 - Prob. 44STPCh. 9.6 - Prob. 45STPCh. 9.6 - Prob. 46SPRCh. 9.6 - Prob. 47SPRCh. 9.6 - Prob. 48SPRCh. 9.6 - Prob. 49SPRCh. 9.6 - Prob. 50SPRCh. 9.6 - Prob. 51SPRCh. 9.6 - Prob. 52SRCh. 9.6 - Prob. 53SRCh. 9.6 - Prob. 54SRCh. 9.6 - Prob. 55SRCh. 9 - Prob. 1GRFCCh. 9 - Prob. 2GRFCCh. 9 - Prob. 3GRFCCh. 9 - Prob. 4GRFCCh. 9 - Prob. 5GRFCCh. 9 - Prob. 6GRFCCh. 9 - Prob. 7GRFCCh. 9 - Prob. 8GRFCCh. 9 - Prob. 1MCQCh. 9 - Prob. 2MCQCh. 9 - Prob. 3MCQCh. 9 - Prob. 4MCQCh. 9 - Prob. 5MCQCh. 9 - Prob. 6MCQCh. 9 - Prob. 7MCQCh. 9 - Prob. 8MCQCh. 9 - Prob. 9MCQCh. 9 - Prob. 10MCQCh. 9 - Prob. 11MCQCh. 9 - Prob. 12MCQCh. 9 - Prob. 13MCQCh. 9 - Prob. 14MCQCh. 9 - Prob. 15MCQCh. 9 - Prob. 1SGRCh. 9 - Prob. 2SGRCh. 9 - Prob. 3SGRCh. 9 - Prob. 4SGRCh. 9 - Prob. 5SGRCh. 9 - Prob. 6SGRCh. 9 - Prob. 7SGRCh. 9 - Prob. 8SGRCh. 9 - Prob. 9SGRCh. 9 - Prob. 10SGRCh. 9 - Prob. 11SGRCh. 9 - Prob. 12SGRCh. 9 - Prob. 13SGRCh. 9 - Prob. 14SGRCh. 9 - Prob. 15SGRCh. 9 - Prob. 16SGRCh. 9 - Prob. 17SGRCh. 9 - Prob. 18SGRCh. 9 - Prob. 19SGRCh. 9 - Prob. 20SGRCh. 9 - Prob. 21SGRCh. 9 - Prob. 22SGRCh. 9 - Prob. 23SGRCh. 9 - Prob. 24SGRCh. 9 - Prob. 25SGRCh. 9 - Prob. 26SGRCh. 9 - Prob. 27SGRCh. 9 - Prob. 28SGRCh. 9 - Prob. 29SGRCh. 9 - Prob. 30SGRCh. 9 - Prob. 31SGRCh. 9 - Prob. 32SGRCh. 9 - Prob. 33SGRCh. 9 - Prob. 34SGRCh. 9 - Prob. 1PTCh. 9 - Prob. 2PTCh. 9 - Prob. 3PTCh. 9 - Prob. 4PTCh. 9 - Prob. 5PTCh. 9 - Prob. 6PTCh. 9 - Prob. 7PTCh. 9 - Prob. 8PTCh. 9 - Prob. 9PTCh. 9 - Prob. 10PTCh. 9 - Prob. 11PTCh. 9 - Prob. 12PTCh. 9 - Prob. 13PTCh. 9 - Prob. 14PTCh. 9 - Prob. 15PTCh. 9 - Prob. 1STPCh. 9 - Prob. 2STPCh. 9 - Prob. 3STPCh. 9 - Prob. 4STPCh. 9 - Prob. 5STPCh. 9 - Prob. 6STPCh. 9 - Prob. 7STPCh. 9 - Prob. 8STPCh. 9 - Prob. 9STPCh. 9 - Prob. 10STPCh. 9 - Prob. 11STPCh. 9 - Prob. 12STPCh. 9 - Prob. 13STPCh. 9 - Prob. 14STP
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