In
a. The reflection with axis
b. The reflection with axis
c. The reflection with axis
d. The reflection with axis
1.
To find:
The image of
Answer to Problem 1E
Solution:
The image of point P under the reflection with axis
Explanation of Solution
Given:
The given figure is,
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
To find a image of point
Consider the given figure,
Figure (1)
In the given figure, the points E, C, and D lie on the opposite side of
Points E, D are opposite to point P but do not have same distance from
The point C is at same distance from
The image of P is point C.
Conclusion:
Thus, the image of point P under the reflection with axis
(b)
To find:
The image of
Answer to Problem 1E
Solution:
The image of point P under the reflection with axis
Explanation of Solution
Given:
The given figure is,
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
To find a image of point
Consider the given figure,
Figure (2)
In Figure (1), the points E, F, and D lie on the opposite side of
Points E, D are opposite to point P but do not have same distance from
The point F is at same distance from
The image of P is point F.
Conclusion:
Thus, the image of point P under the reflection with axis
(c)
To find:
The image of
Answer to Problem 1E
Solution:
The image of
Explanation of Solution
Given:
The given figure is,
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
To find a image of point
Consider the given figure,
Figure (3)
In the given figure, the points C, D, and E lie on the opposite side of
Points C and D are opposite to point P but do not have same distance from
Point E has same distance from
The image of P is point E.
Conclusion:
Thus, the image of point P under the reflection with axis
(d)
To find:
The image of
Answer to Problem 1E
Solution:
The image of
Explanation of Solution
Given:
The given figure is,
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
To find a image of point
Consider the given figure,
Figure (4)
In the given figure, the points A, B, C, D, and G lie on the opposite side of
Points A, D, C and G are opposite to point P but do not have same distance from
Distance of point B from
The image of P is point B.
Conclusion:
Thus, the image of point P under the reflection with axis
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