Excursions in Modern Mathematics Plus MyLab Math -- Title-Specific Access Card Package (9th Edition)
Excursions in Modern Mathematics Plus MyLab Math -- Title-Specific Access Card Package (9th Edition)
9th Edition
ISBN: 9780134765822
Author: Peter Tannenbaum
Publisher: PEARSON
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Textbook Question
Chapter 11, Problem 1E

In Fig . 11 35 _ , indicate which point is the image of P under

a. The reflection with axis l 1 .

b. The reflection with axis l 2 .

c. The reflection with axis l 3 .

d. The reflection with axis l 4 .

Chapter 11, Problem 1E, In Fig.1135_, indicate which point is the image of P under a.The reflection with axis l1. b.The

F i g u r e 1 1 - 3 5

Expert Solution
Check Mark
To determine

1.

To find:

The image of P under the reflection of axis l1.

Answer to Problem 1E

Solution:

The image of point P under the reflection with axis l1 is point C.

Explanation of Solution

Given:

The given figure is,

Excursions in Modern Mathematics Plus MyLab Math -- Title-Specific Access Card Package (9th Edition), Chapter 11, Problem 1E , additional homework tip  1

A rigid motion that moves the object from its starting position to a new position, namely the mirror image of the starting position is called a reflection in the plane.

If a point Q has an image Q under reflection, then the axis of reflection is the perpendicular bisector of the line segment QQ.

To find a image of point P. Draw a perpendicular line that pass through P namely l. The image of P is the point P that lies on l and has the same distance from l as that of point P.

Consider the given figure,

Excursions in Modern Mathematics Plus MyLab Math -- Title-Specific Access Card Package (9th Edition), Chapter 11, Problem 1E , additional homework tip  2

Figure (1)

In the given figure, the points E, C, and D lie on the opposite side of l1.

Points E, D are opposite to point P but do not have same distance from l1 as that of P.

The point C is at same distance from l1 as that of point P.

The image of P is point C.

Conclusion:

Thus, the image of point P under the reflection with axis l1 is point C.

Expert Solution
Check Mark
To determine

(b)

To find:

The image of P under the reflection of axis l2.

Answer to Problem 1E

Solution:

The image of point P under the reflection with axis l2 is point F.

Explanation of Solution

Given:

The given figure is,

Excursions in Modern Mathematics Plus MyLab Math -- Title-Specific Access Card Package (9th Edition), Chapter 11, Problem 1E , additional homework tip  3

A rigid motion that moves the object from its starting position to a new position, namely the mirror image of the starting position is called a reflection in the plane.

If a point Q has an image Q under reflection, then the axis of reflection is the perpendicular bisector of the line segment QQ.

To find a image of point P. Draw a perpendicular line that pass through P namely l. The image of P is the point P that lies on l and has the same distance from l as that of point P.

Consider the given figure,

Excursions in Modern Mathematics Plus MyLab Math -- Title-Specific Access Card Package (9th Edition), Chapter 11, Problem 1E , additional homework tip  4

Figure (2)

In Figure (1), the points E, F, and D lie on the opposite side of l2.

Points E, D are opposite to point P but do not have same distance from l2 as that of P.

The point F is at same distance from l2 as that of Point P.

The image of P is point F.

Conclusion:

Thus, the image of point P under the reflection with axis l2 is point F.

Expert Solution
Check Mark
To determine

(c)

To find:

The image of P under the reflection of axis l3.

Answer to Problem 1E

Solution:

The image of P under the reflection of axis l3 is E.

Explanation of Solution

Given:

The given figure is,

Excursions in Modern Mathematics Plus MyLab Math -- Title-Specific Access Card Package (9th Edition), Chapter 11, Problem 1E , additional homework tip  5

A rigid motion that moves the object from its starting position to a new position, namely the mirror image of the starting position is called a reflection in the plane.

If a point Q has an image Q under reflection, then the axis of reflection is the perpendicular bisector of the line segment QQ.

To find a image of point P. Draw a perpendicular line that pass through P namely l. The image of P is the point P that lies on l and has the same distance from l as that of point P.

Consider the given figure,

Excursions in Modern Mathematics Plus MyLab Math -- Title-Specific Access Card Package (9th Edition), Chapter 11, Problem 1E , additional homework tip  6

Figure (3)

In the given figure, the points C, D, and E lie on the opposite side of l3.

Points C and D are opposite to point P but do not have same distance from l3 as that of P.

Point E has same distance from l3 as that of point P.

The image of P is point E.

Conclusion:

Thus, the image of point P under the reflection with axis l3 is point E.

Expert Solution
Check Mark
To determine

(d)

To find:

The image of P under the reflection of axis l4.

Answer to Problem 1E

Solution:

The image of P under the reflection of axis l4 is B.

Explanation of Solution

Given:

The given figure is,

Excursions in Modern Mathematics Plus MyLab Math -- Title-Specific Access Card Package (9th Edition), Chapter 11, Problem 1E , additional homework tip  7

A rigid motion that moves the object from its starting position to a new position, namely the mirror image of the starting position is called a reflection in the plane.

If a point Q has an image Q under reflection, then the axis of reflection is the perpendicular bisector of the line segment QQ.

To find a image of point P. Draw a perpendicular line that pass through P namely l. The image of P is the point P that lies on l and has the same distance from l as that of point P.

Consider the given figure,

Excursions in Modern Mathematics Plus MyLab Math -- Title-Specific Access Card Package (9th Edition), Chapter 11, Problem 1E , additional homework tip  8

Figure (4)

In the given figure, the points A, B, C, D, and G lie on the opposite side of l4.

Points A, D, C and G are opposite to point P but do not have same distance from l4 as that of P.

Distance of point B from l4 is same as that of point P.

The image of P is point B.

Conclusion:

Thus, the image of point P under the reflection with axis l4 is point B.

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Chapter 11 Solutions

Excursions in Modern Mathematics Plus MyLab Math -- Title-Specific Access Card Package (9th Edition)

Ch. 11 - In Fig. 11-45, A and B are fixed points of a...Ch. 11 - Prob. 12ECh. 11 - In Fig. 11-47, indicate which point is a. the...Ch. 11 - Prob. 14ECh. 11 - In each case, give an answer between 0 and 360. 1....Ch. 11 - Prob. 16ECh. 11 - Prob. 17ECh. 11 - Prob. 18ECh. 11 - Prob. 19ECh. 11 - Prob. 20ECh. 11 - Prob. 21ECh. 11 - Prob. 22ECh. 11 - In Fig. 11-54, indicate which point is the image...Ch. 11 - Prob. 24ECh. 11 - Prob. 25ECh. 11 - In Fig. 11-57, Q is the image of Q under a...Ch. 11 - In Fig. 11-58, D is the image of D under a...Ch. 11 - Prob. 28ECh. 11 - Prob. 29ECh. 11 - Prob. 30ECh. 11 - Prob. 31ECh. 11 - In Fig 11-63, P is the image of P under a glide...Ch. 11 - In Fig.11-64, B is the image of B and D is the...Ch. 11 - Prob. 34ECh. 11 - Prob. 35ECh. 11 - Prob. 36ECh. 11 - In Fig 11-68, D is the image of D and C is the...Ch. 11 - In Fig11-69, A is the image of A and D is the...Ch. 11 - Prob. 39ECh. 11 - Prob. 40ECh. 11 - Prob. 41ECh. 11 - Prob. 42ECh. 11 - Prob. 43ECh. 11 - Prob. 44ECh. 11 - Prob. 45ECh. 11 - Prob. 46ECh. 11 - Find the symmetry type for each of the following...Ch. 11 - Prob. 48ECh. 11 - Prob. 49ECh. 11 - Prob. 50ECh. 11 - Prob. 51ECh. 11 - Prob. 52ECh. 11 - Prob. 53ECh. 11 - Prob. 54ECh. 11 - Prob. 55ECh. 11 - Prob. 56ECh. 11 - Prob. 57ECh. 11 - Prob. 58ECh. 11 - Prob. 59ECh. 11 - Prob. 60ECh. 11 - Prob. 61ECh. 11 - Prob. 62ECh. 11 - Prob. 63ECh. 11 - Prob. 64ECh. 11 - Suppose that a rigid motion M is the product of a...Ch. 11 - Prob. 66ECh. 11 - Prob. 67ECh. 11 - Prob. 68ECh. 11 - Prob. 69ECh. 11 - Prob. 70ECh. 11 - Prob. 71ECh. 11 - Prob. 72ECh. 11 - Prob. 73ECh. 11 - Prob. 74ECh. 11 - Prob. 75ECh. 11 - Prob. 76ECh. 11 - Prob. 77ECh. 11 - Prob. 78ECh. 11 - Prob. 79ECh. 11 - Prob. 80E

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