document.write( "Question 601480: Prove : that triangle ABC is Isosceles. Where AD __l__ BC
\n" ); document.write( "Can you tell me where I went wrong and what is the correct answer?
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\n" ); document.write( "1: < BAD = angle CAD reason Given
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\n" ); document.write( "2: AD __l_ BC reason Given\r
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\n" ); document.write( "\n" ); document.write( "3angleBDA and angle are right angles = reason Definition of perpendicular\r
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\n" ); document.write( "4 < BDA is congruent to CDA reason: transfer property of equality\r
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\n" ); document.write( "\n" ); document.write( "5 BD is congruent to CD reason Definition of a bisector therom\r
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\n" ); document.write( "\n" ); document.write( "6 AD is congruent to CD reason Reflexive property of congruency\r
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\n" ); document.write( "\n" ); document.write( "7angle ABC is congruent to angle ADC reason SAS congruency of triangles \r
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\n" ); document.write( "\n" ); document.write( "8Angle ABC is congruent to ACD of a congruent triangle are congruent.
\n" ); document.write( "8BReason: reason corresponding parts of a congruent triangle are congruent. \r
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\n" ); document.write( "\n" ); document.write( " 9. ABC is ab isosceles triangle reason Definition of an isosceles triangle is a triangle that has 2 angles and 2 sises that are congruent. \n" ); document.write( "
Algebra.Com's Answer #379825 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "You have a number of incorrect statements.\r\n" );
document.write( "You have incorrect use of reflexive property of congruence.\r\n" );
document.write( "The reflexive property says things are congruent to THEMSELVES!\r\n" );
document.write( "Incorrect use of transfer property; not needed. 5 is wrong; \r\n" );
document.write( "don't use \"bisector\" theorem.  Triangles are isosceles by definition\r\n" );
document.write( "if only two sides are congruent. Use ASA, not SAS.\r\n" );
document.write( "Here is a correct proof:\r\n" );
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document.write( "1. ∠BAD ≅ ∠CAD        Given\r\n" );
document.write( "2.   AD ⊥ BC          Given\r\n" );
document.write( "3. ∠BDA ≅ ∠CDA        Both are right angles by 2\r\n" );
document.write( "4.   AD ≅ AD          Reflexive property\r\n" );
document.write( "5. ᐃADB ≅ ᐃABC        Angle-Side-Angle\r\n" );
document.write( "6.   AB ≅ AC          Corresponding parts of\r\n" );
document.write( "                        congruent triangles\r\n" );
document.write( "7. ᐃABC is isosceles  Two sides are congruent.\r\n" );
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document.write( "Edwin
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