document.write( "Question 1019756: given: Angle CED is a right angle, AB congruent to CD, DB bisects AC at E
\n" ); document.write( "Prove: Quadrilateral ABCD is a Rhombus \n" ); document.write( "
Algebra.Com's Answer #635967 by Edwin McCravy(20060)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "Discussion of how to prove it:\r
\n" ); document.write( "\n" ); document.write( "The goal is to prove that the four right triangles, ΔAED, ΔCED,
\n" ); document.write( "ΔAEB, ΔCEB are all congruent. Then all their hypotenuses
\n" ); document.write( "will be congruent by CPCT. Begin by showing that all four
\n" ); document.write( "angles at E are right angles, making all of four of the
\n" ); document.write( "triangles right triangles. Then prove ΔAEB ≅ ΔCED because
\n" ); document.write( "AB ≅ CD is given, and since DB bisects AC at E, AE ≅ CE.
\n" ); document.write( "Then using DE ≅ DE and BE ≅ BE, you can prove the other
\n" ); document.write( "two right triangles congruent.\r
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