document.write( "Question 173265: Given: Segment CS and segment AT are altitudes; Segment CS is congruent to segment AT
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document.write( "Prove: Segment AS is congruent to segment CT\r
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document.write( "Use this diagram to help you:
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document.write( "http://i164.photobucket.com/albums/u27/foxymccloud/geometry.jpg \n" );
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Algebra.Com's Answer #128091 by jim_thompson5910(35256) ![]() You can put this solution on YOUR website! \r\n" ); document.write( "\r\n" ); document.write( " Statement Reason\r\n" ); document.write( "-----------------------------------------------------------------------\r\n" ); document.write( "\r\n" ); document.write( "1. Angle ASC is right angle Definition of Altitude (given) \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "2. Angle ATC is right angle Definition of Altitude (given)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "3. Angle ATC = Angle ASC Right Angle Theorem\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "4. CS = AT Given\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "5. AC = AC Reflexive Property of Congruence\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "6. triangle ASC = triangle ATC SAS Postulate\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "7. AS = CT CPCTC\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Notes: \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "# 1 Remember, an altitude is a segment that runs from one vertex to the opposite side (and forms a 90 degree angle with the opposite side).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "# 2 The Right Angle Theorem states that all right angles are congruent.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "# 3 CPCTC = Corresponding parts of congruent triangles are congruent. \n" ); document.write( " |