SOLUTION: HELP ! Use coordinate geometry to prove that the diagonals of a rectangle are congruent.Please show all work. HINT: apply distance formula to OQ and PR. thank you soo much!

Algebra ->  Formulas -> SOLUTION: HELP ! Use coordinate geometry to prove that the diagonals of a rectangle are congruent.Please show all work. HINT: apply distance formula to OQ and PR. thank you soo much!       Log On


   

Question 390575: HELP ! Use coordinate geometry to prove that the diagonals of a rectangle are congruent.Please show all work. HINT: apply distance formula to OQ and PR.

thank you soo much!


Heres a pic!
http://i1189.photobucket.com/albums/z426/cwallace2/Casey001.jpg
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
From the picture you sent, and using the distance formula,
PR = sqrt%28%28a-0%29%5E2+%2B+%280-b%29%5E2%29+=+sqrt%28a%5E2+%2B+b%5E2%29, and
OQ = sqrt%28%28a-0%29%5E2+%2B+%28b-0%29%5E2%29+=+sqrt%28a%5E2+%2B+b%5E2%29.
Therefore PR = OQ, and the two diagonals are congruent.