document.write( "Question 310134: I have to prove that Triangle ABC is isosceles.D is the midpoint at the base.
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document.write( "Here is what I have so far:
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document.write( "Given:Angle BAD is congruent to Angle CAD
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document.write( "Given:Line segment AD is perpendicular to Line segment BC
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document.write( "This is what I come up with myself:
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document.write( "Angle BDA is congruent to Angle CDA---Right Angle Theorem
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document.write( "Angle ADB is congruent to Angle ADC---Right Angle Theorem
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document.write( "Line segment AD is congruent to Line segment AD---Reflexive
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document.write( "Line segment BD is congruent to Line segment CD---Line segment AD is a midpoint of Line segment BC
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document.write( "Angle BAD is congruent to Angle CAD---Line segment AD is an angle bisector
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document.write( "Triangle ABD is congruent to Triangle ACD---ASA
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document.write( "Line segment AB is congruent to Line segment AC---CPCTC
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document.write( "Triangle ABC is isosceles---Line segment AD is perpendicular to Line segment BC and an angle bisector of Angle BAC\r
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document.write( "Apparently, there is quite a lot missing and I have not received any help from teachers, yours would be greatly appreciated!
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Algebra.Com's Answer #221992 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! \"Given:Angle BAD is congruent to Angle CAD\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"Angle BDA is congruent to Angle CDA---Right Angle Theorem\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"Line segment AD is congruent to Line segment AD---Reflexive\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "triangle BAD is congruent to triangle CAD---ASA\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "side BA is congruent to side CA---CPCTC\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "triangle ABC is isoc---definition\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this is the essence of the proof \n" ); document.write( "you may need to \"touch up\" a little \n" ); document.write( " |