Well, we could continue collecting these nuggets and eventually give Fort Knox a run for its money. "Why do we care?" "What does this matter?" "How is this at all relevant to my life?" "Why are these little golden nuggets of wisdom important?" So it's only reasonable that we ask our favorite questions about mathematics. We've established five different theorems about parallelograms. And it wasn't just to make your math teacher happy. Oh, you thought they were over and done with, did you? Well, we hate to burst your bubble, bud, but we learned about those triangles for a reason. The key to this proof (and probably most proofs about quadrilaterals) is a theorem about triangles. Opposite sides of a parallelogram are congruent (1) Given that ABCD is a parallelogram, prove that its diagonals, AC and BD, bisect each other. Or, if you'd rather not, you can get the theorem for free! Just handle it yourself. But wait, there's more! Order in the next ten minutes and we'll throw in another theorem, absolutely free! Just pay $4.95 for shipping and handling. With all of these theorems about parallelograms, it's like we struck mathematical gold. So ∠ A and ∠ B are supplementary, as are ∠ C and ∠ D.
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