document.write( "Question 1182539: Q is the rotation of P(8,1) counter clockwise through 90* about the origin O, i.e. OP=OQ and angle QOP=90*. R Is the reflection of Q in the line y=x. S is the reflection of R in the y-axis. Find the coordinates of S. \n" ); document.write( "

Algebra.Com's Answer #812617 by ikleyn(52788) $\"\"$ $\"About$

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\n" ); document.write( "Q is the rotation of P(8,1) counter clockwise through 90* about the origin O,
\n" ); document.write( "i.e. OP=OQ and angle QOP=90*. R Is the reflection of Q in the line y=x.
\n" ); document.write( "S is the reflection of R in the y-axis. Find the coordinates of S.
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document.write( "(1)  Since Q is rotation of P(8,1) clockwise through 90 degrees about the origin,\r\n" );
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document.write( "     Q has the coordinates  Q = (-1,8).\r\n" );
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document.write( "(2)  R is the reflection of Q in the line y = x;  \r\n" );
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document.write( "     Hence,  R = (8,-1).     <<<---===  it is enough to make a sketch to get it . . . \r\n" );
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document.write( "(3)  S is reflection of R in y-axis;\r\n" );
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document.write( "     hence,  S = (-8,-1).                    ANSWER\r\n" );
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