Parallelogram Diagonals

[color=#000000]Use coordinate geometry to prove that the [b]diagonals of a parallelogram bisect each other. [/b] [br][/color][color=#000000]That is, write a coordinate geometry proof that formally proves what this applet informally illustrates. [br][br]Be sure to assign appropriate variable coordinates to your parallelogram's vertices! [br](The maximum number of variable coordinates your coordinate setup should have is 3.)[/color]
[color=#000000]Now prove this same theorem true using the format of a 2-column proof or a paragraph proof.[br][/color][i][color=#000000]Hint: This proof may contain multiple pairs of congruent triangles. [/color][br][br][/i][color=#1e84cc]In your opinion, was this theorem easier to prove using a coordinate geometry setup OR a paragraph (or 2-column) proof setup? What do you think? [/color]

Information: Parallelogram Diagonals