document.write( "Question 1141295: Explain why it's true\r
\n" ); document.write( "\n" ); document.write( "Given: Points A,B and C lie on Circle Q in such a way that arc measures AB=BC;
\n" ); document.write( "Also, chords AB, BC, AND AC (no drawing provided)\r
\n" ); document.write( "\n" ); document.write( "Prove: ΔABC must be an isosceles triangle
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Algebra.Com's Answer #761852 by Boreal(15235)\"\" \"About 
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Draw this out and notice that angle A is an inscribed angle that is 1/2 the arc measure BC
\n" ); document.write( "Angle C is an inscribed angle with (1/2) the arc measure AB.
\n" ); document.write( "The arc measures are equal, so the inscribed angles are equal.
\n" ); document.write( "Those angles are two of the angles of the triangle ABC.
\n" ); document.write( "Therefore, ABC is an isosceles triangle.
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