document.write( "Question 1135262: traingle ABC has coordinates A(0,0), B(0,6) , and C (4,0). Triangle DEF is similar to triangle ABC, and the length of DE is 3 units. what is the measure of segment DF? why \n" ); document.write( "

Algebra.Com's Answer #752881 by MathTherapy(10552) $\"\"$ $\"About$

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\n" ); document.write( "traingle ABC has coordinates A(0,0), B(0,6) , and C (4,0). Triangle DEF is similar to triangle ABC, and the length of DE is 3 units. what is the measure of segment DF? why
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Side AB is on the y-axis, and having the same x-coordinate, has a length that is the ABSOLUTE difference between the y-coordinates. Therefore, AB = |0 - 6| or |6 - 0| = 6 units
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document.write( "Side AC is on the x-axis, and having the same y-coordinate, has a length that is the ABSOLUTE difference between the x-coordinates. Therefore, AC = |0 - 4| or |4 - 0| = 4 units
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document.write( "DE = 3 units in the smaller right-triangle CORRESPONDS to AB in the larger right-triangle, and so, it's obvious that DE is  of side AB. So is side DF which corresponds to AC and is also  of AC, or 
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document.write( "Within what I just stated, you should be able to answer the question, \"why?\" \n" );
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