Glencoe Math Accelerated, Student Edition
Glencoe Math Accelerated, Student Edition
1st Edition
ISBN: 9780076637980
Author: McGraw-Hill Glencoe
Publisher: MCG
Question
Book Icon
Chapter 11.7, Problem 22HP

a.

To determine

To find: Vertices of each figure after a dilation.

a.

Expert Solution
Check Mark

Answer to Problem 22HP

Coordinates after dilation are

  A''(0,4)B''(0,0)C''(8,4)

Explanation of Solution

Given information:

  A=(0,5)B=(0,0)C=(10,5)

  k=2 followed by k=25

First dilation is (x,y)(2x,2y) .

Multiply the coordinates of each vertex by 2 .

  A(0,5)A'(2(0),2(5))A(0,5)A'(0,10)

Again, on dilation with scale factor k=25

We get

  A'(0,10)A''(25(0),25(10))A'(0,10)A''(0,4)

  B(0,0)B'(2(0),2(0))B(0,0)B'(0,0)

Again, on dilation with scale factor k=25

We get

  B'(0,0)B''(25(0),25(0))B'(0,0)B''(0,0)

  C(10,5)C'(2(10),2(5))C(10,5)C'(20,10)

Again, on dilation with scale factor k=25

We get

  C'(20,10)C''(25(20),25(10))C'(20,10)C''(8,4)

Therefore,

Coordinates after dilation are

  A''(0,4)B''(0,0)C''(8,4)

b.

To determine

To find: Vertices of each figure after a dilation.

b.

Expert Solution
Check Mark

Answer to Problem 22HP

Coordinates after dilation are

  A''(0,4)B''(0,0)C''(8,4)

Explanation of Solution

Given information:

  A=(0,5)B=(0,0)C=(10,5)

  k=25 followed by k=2

First dilation is (x,y)(2x,2y) .

Multiply the coordinates of each vertex by 25 .

  A(0,5)A'(25(0),25(5))A(0,5)A'(0,2)

Again, on dilation with scale factor k=2

We get

  A'(0,2)A''(2(0),2(2))A'(0,2)A''(0,4)

  B(0,0)B'(25(0),25(0))B(0,0)B'(0,0)

Again, on dilation with scale factor k=2

We get

  B'(0,0)B''(2(0),2(0))B'(0,0)B''(0,0)

  C(10,5)C'(25(10),25(5))C(10,5)C'(4,2)

Again, on dilation with scale factor k=2

We get

  C'(4,2)C''(2(4),2(2))C'(4,2)C''(8,4)

Therefore,

Coordinates after dilation are

  A''(0,4)B''(0,0)C''(8,4)

c.

To determine

To find: Vertices of each figure after a dilation.

c.

Expert Solution
Check Mark

Answer to Problem 22HP

Coordinates after dilation are

  A''(0,52)B''(0,0)C''(5,52)

Explanation of Solution

Given information:

  A=(0,5)B=(0,0)C=(10,5)

  k=14 followed by k=2

First dilation is (x,y)(2x,2y) .

Multiply the coordinates of each vertex by 14 .

  A(0,5)A'(14(0),14(5))A(0,5)A'(0,54)

Again, on dilation with scale factor k=2

We get

  A'(0,54)A''(2(0),2(54))A'(0,54)A''(0,52)

  B(0,0)B'(14(0),14(0))B(0,0)B'(0,0)

Again, on dilation with scale factor k=2

We get

  B'(0,0)B''(2(0),2(0))B'(0,0)B''(0,0)

  C(10,5)C'(14(10),14(5))C(10,5)C'(52,54)

Again, on dilation with scale factor k=2

We get

  C'(52,54)C''(2(52),2(54))C'(52,54)C''(5,52)

Therefore,

Coordinates after dilation are

  A''(0,52)B''(0,0)C''(5,52)

d.

To determine

To find: Vertices of each figure after a dilation.

d.

Expert Solution
Check Mark

Answer to Problem 22HP

Coordinates after dilation are

  A''(0,52)B''(0,0)C''(5,52)

Explanation of Solution

Given information:

  A=(0,5)B=(0,0)C=(10,5)

  k=2 followed by k=14

First dilation is (x,y)(2x,2y) .

Multiply the coordinates of each vertex by 2 .

  A(0,5)A'(2(0),2(5))A(0,5)A'(0,10)

Again, on dilation with scale factor k=14

We get

  A'(0,10)A''(14(0),14(10))A'(0,10)A''(0,52)

  B(0,0)B'(2(0),2(0))B(0,0)B'(0,0)

Again, on dilation with scale factor k=14

We get

  B'(0,0)B''(14(0),14(0))B'(0,0)B''(0,0)

  C(10,5)C'(2(10),2(5))C(10,5)C'(20,10)

Again, on dilation with scale factor k=14

We get

  C'(20,10)C''(14(20),14(10))C'(20,10)C''(5,52)

Therefore,

Coordinates after dilation are

  A''(0,52)B''(0,0)C''(5,52)

Chapter 11 Solutions

Glencoe Math Accelerated, Student Edition

Ch. 11.1 - Prob. 11IPCh. 11.1 - Prob. 12IPCh. 11.1 - Prob. 13IPCh. 11.1 - Prob. 14IPCh. 11.1 - Prob. 15IPCh. 11.1 - Prob. 16IPCh. 11.1 - Prob. 17IPCh. 11.1 - Prob. 18IPCh. 11.1 - Prob. 19IPCh. 11.1 - Prob. 20IPCh. 11.1 - Prob. 21IPCh. 11.1 - Prob. 22IPCh. 11.1 - Prob. 23IPCh. 11.1 - Prob. 24IPCh. 11.1 - Prob. 25IPCh. 11.1 - Prob. 26IPCh. 11.1 - Prob. 27IPCh. 11.1 - Prob. 28IPCh. 11.1 - Prob. 29IPCh. 11.1 - Prob. 30IPCh. 11.1 - Prob. 31IPCh. 11.1 - Prob. 32IPCh. 11.1 - Prob. 33IPCh. 11.1 - Prob. 34IPCh. 11.1 - Prob. 35HPCh. 11.1 - Prob. 36HPCh. 11.1 - Prob. 37HPCh. 11.1 - Prob. 38HPCh. 11.1 - Prob. 39STPCh. 11.1 - Prob. 40STPCh. 11.1 - Prob. 41STPCh. 11.1 - Prob. 42STPCh. 11.1 - Prob. 43CCRCh. 11.1 - Prob. 44CCRCh. 11.1 - Prob. 45CCRCh. 11.1 - Prob. 46CCRCh. 11.1 - Prob. 47CCRCh. 11.1 - Prob. 48CCRCh. 11.1 - Prob. 49CCRCh. 11.1 - Prob. 50CCRCh. 11.1 - Prob. 51CCRCh. 11.1 - Prob. 52CCRCh. 11.1 - Prob. 53CCRCh. 11.1 - Prob. 54CCRCh. 11.1 - Prob. 55CCRCh. 11.1 - Prob. 56CCRCh. 11.1 - Prob. 57CCRCh. 11.1 - Prob. 58CCRCh. 11.2 - Prob. 1GPCh. 11.2 - Prob. 2GPCh. 11.2 - Prob. 3GPCh. 11.2 - Prob. 4GPCh. 11.2 - Prob. 5GPCh. 11.2 - Prob. 6IPCh. 11.2 - Prob. 7IPCh. 11.2 - Prob. 8IPCh. 11.2 - Prob. 9IPCh. 11.2 - Prob. 10IPCh. 11.2 - Prob. 11IPCh. 11.2 - Prob. 12IPCh. 11.2 - Prob. 13IPCh. 11.2 - Prob. 14IPCh. 11.2 - Prob. 15IPCh. 11.2 - Prob. 16IPCh. 11.2 - Prob. 17IPCh. 11.2 - Prob. 18IPCh. 11.2 - Prob. 19IPCh. 11.2 - Prob. 20IPCh. 11.2 - Prob. 21IPCh. 11.2 - Prob. 22IPCh. 11.2 - Prob. 23IPCh. 11.2 - Prob. 24IPCh. 11.2 - Prob. 25IPCh. 11.2 - Prob. 26IPCh. 11.2 - Prob. 27IPCh. 11.2 - Prob. 28HPCh. 11.2 - Prob. 29HPCh. 11.2 - Prob. 30HPCh. 11.2 - Prob. 31HPCh. 11.2 - Prob. 32HPCh. 11.2 - Prob. 33STPCh. 11.2 - Prob. 34STPCh. 11.2 - Prob. 35STPCh. 11.2 - Prob. 36STPCh. 11.2 - Prob. 37CCRCh. 11.2 - Prob. 38CCRCh. 11.2 - Prob. 39CCRCh. 11.2 - Prob. 40CCRCh. 11.2 - Prob. 41CCRCh. 11.2 - Prob. 42CCRCh. 11.2 - Prob. 43CCRCh. 11.2 - Prob. 44CCRCh. 11.2 - Prob. 45CCRCh. 11.2 - Prob. 46CCRCh. 11.2 - Prob. 47CCRCh. 11.2 - Prob. 48CCRCh. 11.2 - Prob. 49CCRCh. 11.2 - Prob. 50CCRCh. 11.3 - Prob. 1GPCh. 11.3 - Prob. 2GPCh. 11.3 - Prob. 3GPCh. 11.3 - Prob. 4GPCh. 11.3 - Prob. 5GPCh. 11.3 - Prob. 6GPCh. 11.3 - Prob. 7GPCh. 11.3 - Prob. 8IPCh. 11.3 - Prob. 9IPCh. 11.3 - Prob. 10IPCh. 11.3 - Prob. 11IPCh. 11.3 - Prob. 12IPCh. 11.3 - Prob. 13IPCh. 11.3 - Prob. 14IPCh. 11.3 - Prob. 15IPCh. 11.3 - Prob. 16IPCh. 11.3 - Prob. 17IPCh. 11.3 - Prob. 18IPCh. 11.3 - Prob. 19IPCh. 11.3 - Prob. 20IPCh. 11.3 - Prob. 21IPCh. 11.3 - Prob. 22IPCh. 11.3 - Prob. 23IPCh. 11.3 - Prob. 24IPCh. 11.3 - Prob. 25IPCh. 11.3 - Prob. 26IPCh. 11.3 - Prob. 27IPCh. 11.3 - Prob. 28IPCh. 11.3 - Prob. 29IPCh. 11.3 - Prob. 30IPCh. 11.3 - Prob. 31IPCh. 11.3 - Prob. 32IPCh. 11.3 - Prob. 33IPCh. 11.3 - Prob. 34IPCh. 11.3 - Prob. 35IPCh. 11.3 - Prob. 36HPCh. 11.3 - Prob. 37HPCh. 11.3 - Prob. 38HPCh. 11.3 - Prob. 39HPCh. 11.3 - Prob. 40HPCh. 11.3 - Prob. 41STPCh. 11.3 - Prob. 42STPCh. 11.3 - Prob. 43STPCh. 11.3 - Prob. 44STPCh. 11.3 - Prob. 45CCRCh. 11.3 - Prob. 46CCRCh. 11.3 - Prob. 47CCRCh. 11.3 - Prob. 48CCRCh. 11.3 - Prob. 49CCRCh. 11.3 - Prob. 50CCRCh. 11.3 - Prob. 51CCRCh. 11.3 - Prob. 52CCRCh. 11.3 - Prob. 53CCRCh. 11.3 - Prob. 54CCRCh. 11.3 - Prob. 55CCRCh. 11.3 - Prob. 56CCRCh. 11.4 - Prob. 1GPCh. 11.4 - Prob. 2GPCh. 11.4 - Prob. 3IPCh. 11.4 - Prob. 4IPCh. 11.4 - Prob. 5IPCh. 11.4 - Prob. 6IPCh. 11.4 - Prob. 7IPCh. 11.4 - Prob. 8IPCh. 11.4 - Prob. 9IPCh. 11.4 - Prob. 10IPCh. 11.4 - Prob. 11IPCh. 11.4 - Prob. 12IPCh. 11.4 - Prob. 13IPCh. 11.4 - Prob. 14IPCh. 11.4 - Prob. 15IPCh. 11.4 - Prob. 16IPCh. 11.4 - Prob. 17IPCh. 11.4 - Prob. 18HPCh. 11.4 - Prob. 19HPCh. 11.4 - Prob. 20HPCh. 11.4 - Prob. 21HPCh. 11.4 - Prob. 22HPCh. 11.4 - Prob. 23STPCh. 11.4 - Prob. 24STPCh. 11.4 - Prob. 25STPCh. 11.4 - Prob. 26STPCh. 11.4 - Prob. 27CCRCh. 11.4 - Prob. 28CCRCh. 11.4 - Prob. 29CCRCh. 11.4 - Prob. 30CCRCh. 11.4 - Prob. 31CCRCh. 11.4 - Prob. 32CCRCh. 11.4 - Prob. 33CCRCh. 11.4 - Prob. 34CCRCh. 11.4 - Prob. 35CCRCh. 11.4 - Prob. 36CCRCh. 11.4 - Prob. 37CCRCh. 11.4 - Prob. 38CCRCh. 11.4 - Prob. 39CCRCh. 11.4 - Prob. 40CCRCh. 11.5 - Prob. 1GPCh. 11.5 - Prob. 2GPCh. 11.5 - Prob. 3GPCh. 11.5 - Prob. 4GPCh. 11.5 - Prob. 5IPCh. 11.5 - Prob. 6IPCh. 11.5 - Prob. 7IPCh. 11.5 - Prob. 8IPCh. 11.5 - Prob. 9IPCh. 11.5 - Prob. 10IPCh. 11.5 - Prob. 11IPCh. 11.5 - Prob. 12IPCh. 11.5 - Prob. 13IPCh. 11.5 - Prob. 14IPCh. 11.5 - Prob. 15IPCh. 11.5 - Prob. 16IPCh. 11.5 - Prob. 17HPCh. 11.5 - Prob. 18HPCh. 11.5 - Prob. 19HPCh. 11.5 - Prob. 20HPCh. 11.5 - Prob. 21HPCh. 11.5 - Prob. 22STPCh. 11.5 - Prob. 23STPCh. 11.5 - Prob. 24STPCh. 11.5 - Prob. 25STPCh. 11.5 - Prob. 26CCRCh. 11.5 - Prob. 27CCRCh. 11.5 - Prob. 28CCRCh. 11.5 - Prob. 29CCRCh. 11.5 - Prob. 30CCRCh. 11.5 - Prob. 31CCRCh. 11.5 - Prob. 32CCRCh. 11.5 - Prob. 33CCRCh. 11.5 - Prob. 34CCRCh. 11.5 - Prob. 35CCRCh. 11.5 - Prob. 36CCRCh. 11.5 - Prob. 37CCRCh. 11.5 - Prob. 38CCRCh. 11.5 - Prob. 39CCRCh. 11.6 - Prob. 1GPCh. 11.6 - Prob. 2GPCh. 11.6 - Prob. 3GPCh. 11.6 - Prob. 4IPCh. 11.6 - Prob. 5IPCh. 11.6 - Prob. 6IPCh. 11.6 - Prob. 7IPCh. 11.6 - Prob. 8IPCh. 11.6 - Prob. 9IPCh. 11.6 - Prob. 10IPCh. 11.6 - Prob. 11IPCh. 11.6 - Prob. 12IPCh. 11.6 - Prob. 13HPCh. 11.6 - Prob. 14HPCh. 11.6 - Prob. 15HPCh. 11.6 - Prob. 16HPCh. 11.6 - Prob. 17STPCh. 11.6 - Prob. 18STPCh. 11.6 - Prob. 19CCRCh. 11.6 - Prob. 20CCRCh. 11.6 - Prob. 21CCRCh. 11.6 - Prob. 22CCRCh. 11.6 - Prob. 23CCRCh. 11.6 - Prob. 24CCRCh. 11.6 - Prob. 25CCRCh. 11.7 - Prob. 1GPCh. 11.7 - Prob. 2GPCh. 11.7 - Prob. 3GPCh. 11.7 - Prob. 4GPCh. 11.7 - Prob. 5GPCh. 11.7 - Prob. 6IPCh. 11.7 - Prob. 7IPCh. 11.7 - Prob. 8IPCh. 11.7 - Prob. 9IPCh. 11.7 - Prob. 10IPCh. 11.7 - Prob. 11IPCh. 11.7 - Prob. 12IPCh. 11.7 - Prob. 13IPCh. 11.7 - Prob. 14IPCh. 11.7 - Prob. 15IPCh. 11.7 - Prob. 16IPCh. 11.7 - Prob. 17IPCh. 11.7 - Prob. 18IPCh. 11.7 - Prob. 19IPCh. 11.7 - Prob. 20HPCh. 11.7 - Prob. 21HPCh. 11.7 - Prob. 22HPCh. 11.7 - Prob. 23HPCh. 11.7 - Prob. 24HPCh. 11.7 - Prob. 25HPCh. 11.7 - Prob. 26STPCh. 11.7 - Prob. 27STPCh. 11.7 - Prob. 28STPCh. 11.7 - Prob. 29STPCh. 11.7 - Prob. 30CCRCh. 11.7 - Prob. 31CCRCh. 11.7 - Prob. 32CCRCh. 11.7 - Prob. 33CCRCh. 11.7 - Prob. 34CCRCh. 11.7 - Prob. 35CCRCh. 11.8 - Prob. 1GPCh. 11.8 - Prob. 2GPCh. 11.8 - Prob. 3GPCh. 11.8 - Prob. 4GPCh. 11.8 - Prob. 5IPCh. 11.8 - Prob. 6IPCh. 11.8 - Prob. 7IPCh. 11.8 - Prob. 8IPCh. 11.8 - Prob. 9IPCh. 11.8 - Prob. 10IPCh. 11.8 - Prob. 11IPCh. 11.8 - Prob. 12IPCh. 11.8 - Prob. 13IPCh. 11.8 - Prob. 14IPCh. 11.8 - Prob. 15IPCh. 11.8 - Prob. 16IPCh. 11.8 - Prob. 17HPCh. 11.8 - Prob. 18HPCh. 11.8 - Prob. 19HPCh. 11.8 - Prob. 20HPCh. 11.8 - Prob. 21STPCh. 11.8 - Prob. 22STPCh. 11.8 - Prob. 23STPCh. 11.8 - Prob. 24STPCh. 11.8 - Prob. 25CCRCh. 11.8 - Prob. 26CCRCh. 11.8 - Prob. 27CCRCh. 11.8 - Prob. 28CCRCh. 11.8 - Prob. 29CCRCh. 11.8 - Prob. 30CCRCh. 11.8 - Prob. 31CCRCh. 11.8 - Prob. 32CCRCh. 11.8 - Prob. 33CCRCh. 11.8 - Prob. 34CCRCh. 11.8 - Prob. 35CCRCh. 11 - Prob. 1CRCh. 11 - Prob. 2CRCh. 11 - Prob. 3CRCh. 11 - Prob. 4CRCh. 11 - Prob. 5CRCh. 11 - Prob. 6CRCh. 11 - Prob. 7CRCh. 11 - Prob. 8CRCh. 11 - Prob. 9CRCh. 11 - Prob. 10CRCh. 11 - Prob. 11CRCh. 11 - Prob. 12CRCh. 11 - Prob. 13CRCh. 11 - Prob. 14CRCh. 11 - Prob. 15CRCh. 11 - Prob. 16CRCh. 11 - Prob. 17CRCh. 11 - Prob. 18CRCh. 11 - Prob. 19CRCh. 11 - Prob. 20CRCh. 11 - Prob. 21CRCh. 11 - Prob. 22CRCh. 11 - Prob. 23CRCh. 11 - Prob. 24CRCh. 11 - Prob. 25CRCh. 11 - Prob. 26CRCh. 11 - Prob. 27CRCh. 11 - Prob. 28CRCh. 11 - Prob. 29CRCh. 11 - Prob. 30CRCh. 11 - Prob. 31CRCh. 11 - Prob. 32CRCh. 11 - Prob. 33CRCh. 11 - Prob. 34CR
Knowledge Booster
Background pattern image
Recommended textbooks for you
Text book image
Calculus: Early Transcendentals
Calculus
ISBN:9781285741550
Author:James Stewart
Publisher:Cengage Learning
Text book image
Thomas' Calculus (14th Edition)
Calculus
ISBN:9780134438986
Author:Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:PEARSON
Text book image
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:9780134763644
Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:PEARSON
Text book image
Calculus: Early Transcendentals
Calculus
ISBN:9781319050740
Author:Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:W. H. Freeman
Text book image
Precalculus
Calculus
ISBN:9780135189405
Author:Michael Sullivan
Publisher:PEARSON
Text book image
Calculus: Early Transcendental Functions
Calculus
ISBN:9781337552516
Author:Ron Larson, Bruce H. Edwards
Publisher:Cengage Learning