document.write( "Question 1208276: If the base and a leg of one isosceles triangle are congruent to the base and a leg of another isosceles triangle,
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document.write( "then their vertex angles are congruent.
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Algebra.Com's Answer #846595 by ikleyn(52788)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "If the base and a leg of one isosceles triangle are congruent to the base and a leg \n" ); document.write( "of another isosceles triangle, then their vertex angles are congruent. \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "In any isosceles triangle, the legs are congruent.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "So, if one leg of one isosceles triangle is congruent to one leg\r\n" ); document.write( "of the other isosceles triangle, then the other leg of the first \r\n" ); document.write( "isosceles triangle is congruent to the other leg of the second isosceles triangle.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Thus the sides of one triangle are congruent to the sides of the other triangle.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "According to the SSS test of congruency for triangles, the triangles themselves are congruent.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Hence, their vertex angles are congruent, since these angles are corresponding angles.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "At this point, the proof is complete.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |