(a)
To find: The image of
(a)
Answer to Problem 12CR
The image of
Explanation of Solution
Given information: The point is
Calculation:
If the line of reflection is x -axis then the reflection is as follows:
If the line of reflection is y -axis then the reflection is as follows:
The transformation of the point if the line of reflection is y -axis, then
Now, the image of
Therefore, the coordinates of the image point is
(b)
To find: The image of
(b)
Answer to Problem 12CR
The image of
Explanation of Solution
Given information: The point is
Calculation:
If the line of reflection is y -axis then the reflection is as follows:
The image of a point for half-turn about the origin is:
The image of given point for half-turn about the origin is:
Now, the image of
Therefore, the coordinates of the image point is
(c)
To find: The image of
(c)
Answer to Problem 12CR
The image of
Explanation of Solution
Given information: The point is
Calculation:
The rotation of a point about the center
If the line of reflection is x -axis then the reflection is as follows:
The image of point
Therefore, the coordinates of the image point is
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