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 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
Check Mark

Answer to Problem 39HP

Sometimes.

Explanation of Solution

Given:Dilation of ΔXYZ centered at the origin with the scale factor 2 .

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
Check Mark

Answer to Problem 39HP

Always.

Explanation of Solution

Given:Dilation of ABCD with the scale factor 1 .

Dilation with the scale factor 1 .

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
Check Mark

Answer to Problem 39HP

Always.

Explanation of Solution

Given:Rotation of AB  74°  about  B.

The point B will always be invariant as it is the center of the rotation.

(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
Check Mark

Answer to Problem 39HP

Sometimes.

Explanation of Solution

Given:Reflection of MNP  in  x−axis.

Reflection of MNP  in  x−axis.

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
Check Mark

Answer to Problem 39HP

Never.

Explanation of Solution

Given:Translation of PQRS  along  (7,3).

Translation of PQRS  along  (7,3).

Here,

The translation is never has invariant points as it will move the same direction and magnitude.

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Chapter 9.6, Problem 38HP
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Chapter 9.6, Problem 40HP

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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