document.write( "Question 796296: Answer the following with either True or False, if false, provide a counter example.
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document.write( "a) An isosceles triangle is always a regular triangle.\r
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document.write( "b) Squares are always trapezoids.\r
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document.write( "c) Rectangles are always parallelograms.\r
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document.write( "d) A kite is always a rhombus.
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Algebra.Com's Answer #481353 by solver91311(24713)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a. False. Consider a triangle with two equal length sides and a third side of a different length. Such a triangle is isosceles but not equilateral (or equiangular or regular).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b. False if you use the \"exclusive\" definition of a trapezoid (i.e. a quadrilateral with EXACTLY one pair of parallel sides). True if you use the \"inclusive\" definition of a trapezoid (i.e. a quadrilateral with AT LEAST ONE pair of parallel sides).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "c. True\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "d. Consider a kite with only one diagonal that is an axis of symmetry. Such a quadrilateral is a kite but not a rhombus.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "John \n" ); document.write( " \n" ); document.write( "Egw to Beta kai to Sigma \n" ); document.write( "My calculator said it, I believe it, that settles it \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |