document.write( "Question 1178664: Consider the statement, “If a parallelogram is a square, then it is a rhombus.”\r
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document.write( "A) Decide whether it is sometimes/always/never true.
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document.write( "B) Write the converse of the statement.
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document.write( "C) Decide whether the converse is sometimes/always/never true. \n" );
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Algebra.Com's Answer #808056 by MathLover1(20850)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( "\n" ); document.write( "Consider the statement, “If a parallelogram is a square, then it is a rhombus.”\r \n" ); document.write( "\n" ); document.write( "A) Decide whether it is sometimes/always/never true. \n" ); document.write( "If a parallelogram has perpendicular diagonals, you know it is a rhombus\r \n" ); document.write( "\n" ); document.write( "so, \n" ); document.write( "\n" ); document.write( "B) Write the converse of the statement.\r \n" ); document.write( "\n" ); document.write( "Converse: \n" ); document.write( "if a parallelogram is a rhombus, then it is a square\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "C) Decide whether the converse is sometimes/always/never true.\r \n" ); document.write( "\n" ); document.write( " a) \n" ); document.write( "(A rhombus is a quadrilateral with all sides equal in length. A square is a quadrilateral with all sides equal in length and all interior angles right angles. Thus a rhombus is not a square unless the angles are all right angles.)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |