document.write( "Question 1209431: Given: Quadrilateral ABCD
\n" ); document.write( "Segment AC bisects angle DAB
\n" ); document.write( "Segment DB bisects angle ADC
\n" ); document.write( "Segment AB is parallel to segment DC
\n" ); document.write( "Prove: ABCD is a rhombus
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Algebra.Com's Answer #848801 by math_tutor2020(3817)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Let point E represent the intersection of diagonals AC and BD.
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\n" ); document.write( "I'll provide a portion of the proof table.
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NumberStatementReason
1Segment AC bisects angle DABGiven
2Segment DB bisects angle ADCGiven
3Segment AB is parallel to segment DCGiven
4Angle DAC = Angle CABDefinition of Angle Bisection
5Angle ADB = Angle CDBDefinition of Angle Bisection
6Angle CAB = Angle ACDAlternate Interior Angles
7Angle DAC = Angle ACDTransitive Property
8Segment DE = Segment DEReflexive Property
9Triangle AED = Triangle CEDAAS Congruence Theorem
10Segment AD = Segment DCCPCTC

\n" ); document.write( "I'll let the student finish up from here.
\n" ); document.write( "The goal is to show that AB = BC = CD = AD.
\n" ); document.write( "So far the proof table above has demonstrated that AD = DC. \r
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\n" ); document.write( "\n" ); document.write( "Abbreviations:
\n" ); document.write( "AAS = angle angle side
\n" ); document.write( "CPCTC = corresponding parts of congruent triangles are congruent
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