SOLUTION: show that the diagonals of a rectangle bisect each other

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Question 697261: show that the diagonals of a rectangle bisect each other
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Let the diagonals intersect at O
AB+=+CD sides of rectangles are congruent
< ABO= < CDO alternate angles AB+%7C%7C+BC
< BAO = < DCO alternate angles AB+%7C%7C+BC
so triangles AOB and COD are congruent.
then AO+=+OC
But AC+=+AO+%2B+OC=+2AO
AO+=+%281%2F2%29+AC
similarly you can prove that BO+=+DO
the diagonals bisect each other in a rectangle,rhombus, parallelogram, and a square (which is a type of rhombus).