document.write( "Question 176242: what are the cordinates of the endponits of line A''B''
\n" ); document.write( "given:A(1,3), B(2,5)
\n" ); document.write( "rotation: 90 degrees counterclockwise about (2,1)
\n" ); document.write( "reflection: in y=x \n" ); document.write( "

Algebra.Com's Answer #131422 by user_dude2008(1862) $\"\"$ $\"About$

You can put this solution on YOUR website!
Step 1) Translate point (2,1) to origin. You must also translate every other point.\r
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\n" ); document.write( "\n" ); document.write( "Step 2) Rotate A(1,3) and B(2,5) about origin 90 degrees counterclockwise. Use the matrix\r
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document.write( "|0 -1|\r\n" );
document.write( "|1  0|\r\n" );
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\n" ); document.write( "\n" ); document.write( "Step 3)\r
\n" ); document.write( "\n" ); document.write( "Translate back to (2,1) \r
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\n" ); document.write( "\n" ); document.write( "Step 4)\r
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\n" ); document.write( "\n" ); document.write( "Reflect by switching coordinates of every point\r
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\n" ); document.write( "\n" ); document.write( "Answer: A'' is (0,0) and B'' is (2,-1)
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