document.write( "Question 1034179: Given: Quadrilateral ABCD is a parallelogram with diagonals AC and BD intersecting at E. Prove: triangle AED is congruent to triangle CEB. \n" ); document.write( "
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\n" ); document.write( "Given: Quadrilateral ABCD is a parallelogram with diagonals AC and BD intersecting at E. Prove: triangle AED is congruent to triangle CEB.
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\n" ); document.write( "\n" ); document.write( "In a parallelogram, the diagonals bisect each other.
\n" ); document.write( "See the lesson Properties of diagonals of parallelograms in this site. \r
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\n" ); document.write( "\n" ); document.write( "So, the triangles AED and CEB have two congruent sides: AE = EC and DE = EB.\r
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\n" ); document.write( "\n" ); document.write( "The angles between these sides are congruent as vertical angles.\r
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\n" ); document.write( "\n" ); document.write( "Hence, the triangles AED and CEB are congrurnt, in accordance with SAS-test.\r
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