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Because ABCD is a parallelogram, BC = AD Why?
The opposite sides of a parallelogram are equal
Also, BC||AD Why?
The opposite sides of a parallelogram are parallel
So /1 = /2 and /3 = /4 Why?
Parallel lines form equal alternate interior angles
/\ BEC =~ /\ DEA Why?
ASA
BE = DE and EC = EA Why?
Corresponding parts of congruent triangles are equal
AC and BD bisect each other Why?
A line segment is bisected if it is divided into two equal segments