document.write( "Question 1164204: Transformation T is defined by T (x, y) = (2, 7) + [2 − x, 7 − y]. An equivalent definition is T (x, y) = (4 − x, 14 − y). Use the first definition to help you explain what kind of transformation T is. \n" ); document.write( "

Algebra.Com's Answer #788510 by ikleyn(53764) $\"\"$ $\"About$

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document.write( "Transformation T is the symmetry about the point (2,7).\r\n" );
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document.write( "In other words, every straight RAY, released from the point (2,7) in the plane, changes its direction and becomes \r\n" );
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document.write( "the straight ray, going from the same point (2,7) in the opposite direction.\r\n" );
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document.write( "Sometimes, such a symmetry is called a \"central symmetry\"  to better distinct it from other types of symmetries\r\n" );
document.write( "about some straight lines (\"mirror symmetries\").\r\n" );
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