document.write( "Question 173265: Given: Segment CS and segment AT are altitudes; Segment CS is congruent to segment AT
\n" ); document.write( "Prove: Segment AS is congruent to segment CT\r
\n" ); document.write( "\n" ); document.write( "Use this diagram to help you:
\n" ); document.write( "http://i164.photobucket.com/albums/u27/foxymccloud/geometry.jpg
\n" ); document.write( "

Algebra.Com's Answer #128091 by jim_thompson5910(35256)\"\" \"About 
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( "
\n" );