document.write( "Question 159347: given: l parallel to m and l perpendicular to n
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document.write( "prove:m perpendicular to n \n" );
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Algebra.Com's Answer #117515 by gonzo(654)![]() ![]() ![]() You can put this solution on YOUR website! draw horizontal line segment AB to represent line L. \n" ); document.write( "draw horizontal line segment CD underneath AB and parallel to AB representing line M parallel to line L. \n" ); document.write( "draw vertical line segment EF perpendicular to AB and approximately in the middle of it representing line N perpendicular to line L. let EF pass through CD as well representing line N intersecting with line M as well as line L. \n" ); document.write( "call the intersection of AB and EF point G. \n" ); document.write( "call the intersection of CD and EF point H. \n" ); document.write( "you should have: \n" ); document.write( "horizontal line AB. \n" ); document.write( "horizontal line CD parallel to it. \n" ); document.write( "vertical line EF passing through AB at point G, and passing through CD at point H. \n" ); document.write( "-------------------------------------------------- \n" ); document.write( "AB perpendicular to EF (given) \n" ); document.write( "angle BGF = 90 degrees (if lines are perpendicular to each other then their angle of intersection equals 90 degrees). \n" ); document.write( "angle CHE = angle BGF (alternate interior angles of parallel lines are equal). \n" ); document.write( "angle CHE = 90 degrees (equal to angle BGF which is 90 degrees) \n" ); document.write( "CD perpendicular to EF (if the angle of intersection equals 90 degrees then the lines forming the angle of intersection are perpendicular to each other). \n" ); document.write( " \n" ); document.write( " |