Question 1117118: reflections, if P=(3,4), find
R x=1(P)
Answer by ikleyn(52787) (Show Source):
You can put this solution on YOUR website! .
The line x = 1 is vertical line in coordinate plane, parallel to y-axis.
This line passes through the point x=1 at x-axis and has x-coordinates of all its points equal to 1.
The point P=(3,4) lies 2 units to the right from the line x=1.
Therefore, its image after reflection lies 2 units to the left from the line x=1.
Thus x-coordinate of the image is 1-2 = -1.
y-coordinate of the image is the same as for the original point y=4.
Thus the answer is: the image of the point P=(3,4) after reflection about the line x=1 is the point Q=(-1,4).
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