document.write( "Question 555730: Write the proof of the following theorem: if a quadrilateral is a kite,
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Algebra.Com's Answer #362250 by Edwin McCravy(20056) $\"\"$ $\"About$

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write the proof of the following theorem: if a quadrilateral is a kite,then its diagonals are perpendicular:
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document.write( "Given:  Kite ABCD\r\n" );
document.write( "To prove: AC ⊥ BD\r\n" );
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document.write( "A couple of reasons are filled in.  You fill in the rest:\r\n" );
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document.write( " 1. AB ≅ AD\r\n" );
document.write( " 2. BC ≅ CD\r\n" );
document.write( " 3. AC ≅ AC \r\n" );
document.write( " 4. ᐃABC ≅ ᐃADC            4. SSS  (using 1,2, and 3)\r\n" );
document.write( " 5. ∠BAE ≅ ∠DAE\r\n" );
document.write( " 6. ᐃABD is isosceles\r\n" );
document.write( " 7. ∠ABE ≅ ∠ADE\r\n" );
document.write( " 8. ᐃABE ≅ ᐃADE            5. ASA  (Using 5,1, and 7)  \r\n" );
document.write( " 9. ∠AEB ≅ ∠AED\r\n" );
document.write( "10. ∠AEB ≅ ∠AED\r\n" );
document.write( "11. m∠AEB = m∠ADE = 90°\r\n" );
document.write( "12. AE ⊥ BD\r\n" );
document.write( "13. AC ⊥ BD   \r\n" );
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document.write( "Edwin

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