document.write( "Question 1171681: given triangle AKC is isoceles with segment KA is congruent to KC
\n" ); document.write( "segment KB bisects angle AKC
\n" ); document.write( "prove that angle A is congruent to angle C
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Algebra.Com's Answer #796590 by ikleyn(52847)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "Compare triangles  AKC  and  CKA  (the order of vertices is IMPORTANT (!) ).\r
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\n" ); document.write( "\n" ); document.write( "These triangles have two pairs of congruent sides:\r
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\n" ); document.write( "\n" ); document.write( "            the side  AK  of triangle  AKC  is congruent to  side CK  of triangle  CKA,\r
\n" ); document.write( "\n" ); document.write( "    and\r
\n" ); document.write( "\n" ); document.write( "            the side  CK  of triangle  AKC  is congruent to side  AK  of triangle CKA.\r
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\n" ); document.write( "\n" ); document.write( "In addition,  these triangles have common angle  K  between these pairs of sides.\r
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\n" ); document.write( "\n" ); document.write( "THEREFORE,  according to  SAS-test,  these triangles are congruent.\r
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\n" ); document.write( "\n" ); document.write( "Hence,  their corresponding angles  A  and  C  are congruent.\r
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\n" ); document.write( "\n" ); document.write( "At this point,  the proof is completed.\r
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