document.write( "Question 1195057: Graph a triangle ABC and perform a translation of (x + 4, y − 3) to create triangle A′B′C′.\r
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\n" ); document.write( "\n" ); document.write( "Describe the transformation using words. Make sure you refer to the characteristics and the coordinates.
\n" ); document.write( "Draw a line through points A and A′ and through points B and B′. What do you notice about the lines you drew? Do you think you would notice the same characteristics if you drew another line through points C and C′? How do you know? \n" ); document.write( "

Algebra.Com's Answer #827399 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "She didn't answer your questions, but just drew the triangles, but\r\n" );
document.write( "didn't draw the line segments AA', BB', and CC'. But then, the lines \r\n" );
document.write( "would have been cluttered and hard to see.\r\n" );
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document.write( "Here is her second drawing, cropped,\r\n" );
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document.write( "Now I'll draw in the line segments AA', BB', CC' in red.\r\n" );
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document.write( "If you'll look carefully, you'll see they all look both parallel and\r\n" );
document.write( "equal in length.\r\n" );
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document.write( "Let A = (p,q), B = (r,s), and C = (t,u). \r\n" );
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document.write( "She picked p=0, q=0, r=0, s=4, t=5, u=0, but you can pick ANY numbers you \r\n" );
document.write( "like for them as long as they're different points:\r\n" );
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document.write( "A = (p,q), so A' = (p+4, q-3)\r\n" );
document.write( "B = (r,s), so A' = (r+4, s-3)\r\n" );
document.write( "C = (t,u), so A' = (t+4, u-3)\r\n" );
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document.write( "They all have the same slope, -3/4, which means that the three lines will be\r\n" );
document.write( "parallel, regardless of what you choose for points (p,q), (r,s), and (t,u).\r\n" );
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document.write( "Not only that, but what about their lengths?\r\n" );
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document.write( "The lengths of those parallel lines are also the same, 5.\r\n" );
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document.write( "The two triangles ABC and A'B'C' are also necessarily congruent, right? Or\r\n" );
document.write( "wrong?\r\n" );
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document.write( "Edwin

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