SOLUTION: How do I proof a parallelogram? I am very confused in proofs. Is there a list I can see on the vocabularies to proof? The question is, Given (square)ABCD prove: AC and BD bisect

Algebra ->  Geometry-proofs -> SOLUTION: How do I proof a parallelogram? I am very confused in proofs. Is there a list I can see on the vocabularies to proof? The question is, Given (square)ABCD prove: AC and BD bisect       Log On


   

Question 562942: How do I proof a parallelogram? I am very confused in proofs. Is there a list I can see on the vocabularies to proof? The question is, Given (square)ABCD
prove: AC and BD bisect each other at E.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
In the square ABCD
AC & BD are the diagonals
They intersect at E
Consider triangles ADE & BEC
Angle ADE is congruent to angle angle EBC ( they are alternate angles. Side AD & side BC are parallel and the transversal is BD )
Angle ABE is congruent to angle CDE ( they are alternate angles. Side AB & side CD are parallel and the transversal is BD )
Side AD is conguent to side BC ( sides of a square)
so the trainagle are congruent ( by Side , Angle,Angle test)
therefore AE = EC & BE = ED
Hence they bisect each other
m.ananth@hotmail.ca