document.write( "Question 388592: What is it called when you have 2 parallel lines and one has a perpendicular to another line? The figure that I'm using looks like this: \r
\n" ); document.write( "\n" ); document.write( "It's for a proof.
\n" ); document.write( "Given: j||k, m is perpendicular to j
\n" ); document.write( "Prove: m is perpendicular to k
\n" ); document.write( "Statements------------------------------------------Reason
\n" ); document.write( "1. j||k---------------------------------------------1. Given
\n" ); document.write( "2. m is perpendicular to j--------------------------2. Given
\n" ); document.write( "3. angle 1 is congruent to angle 2------------------3. Alternate interior angles
\n" ); document.write( "4. m of angle 1=90----------------------------------4. Definition of perpendicular lines
\n" ); document.write( "5. m of angle 2=90----------------------------------5. Definition of perpendicular lines
\n" ); document.write( "6. m is perpendicular to k--------------------------6. __?__ \n" ); document.write( "

Algebra.Com's Answer #275066 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
Here's how I would do this. (Most of the time there are multiple ways to do a proof so this is not the one and only correct proof:
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document.write( "It's for a proof.
\n" );
document.write( "Given: j || k, m is perpendicular to j
\n" );
document.write( "Prove: m is perpendicular to k
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document.write( "Statements------------------------------------------Reason
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document.write( "1. m is perpendicular to j--------------------------1. Given
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document.write( "2. Angle 1 is a right angle.........................2. Def. of perp. lines
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document.write( "3. m of Angle 1 = 90 degrees........................3. Def. of right angles
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document.write( "4. j || k-------------------------------------------4. Given
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document.write( "5. angle 1 is congruent to angle 2------------------5. Alternate interior angles
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document.write( "6. m of angle 1 = m of angle 2......................6. Def. of congruent angles
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document.write( "7. 90 = m of angle 2................................7. Substitution property of equality
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document.write( "(Substituting the 90 from statement 3)
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document.write( "8. angle 2 is a right angle.........................8. Def. of right angles
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document.write( "9. m is perpendicular to k--------------------------9. Def. of perp. lines \n" );
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