document.write( "Question 1117118: reflections, if P=(3,4), find
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Algebra.Com's Answer #732308 by ikleyn(52797) $\"\"$ $\"About$

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document.write( "The line x = 1 is vertical line in coordinate plane, parallel to y-axis.\r\n" );
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document.write( "This line passes through the point x=1 at x-axis and has x-coordinates of all its points equal to 1.\r\n" );
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document.write( "The point P=(3,4) lies 2 units to the right from the line x=1.\r\n" );
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document.write( "Therefore, its image after reflection lies 2 units to the left from the line x=1.\r\n" );
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document.write( "Thus x-coordinate of the image is  1-2 = -1.\r\n" );
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document.write( "y-coordinate of the image is the same as for the original point y=4.\r\n" );
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document.write( "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).\r\n" );
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