If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.
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If you drive 9 miles north from your house, then turn and drive 12 miles east, you can use the Pythagorean theorem to calculate that you wind up 15 miles from home. You don't need a graph at all to do that. You just have to know the Pythagorean theorem.
Norton's theorem is the current equivalent of Thevenin's theorem.
You cannot solve a theorem: you can prove the theorem or you can solve a question based on the remainder theorem.
That is a theorem.A theorem.
No, a corollary follows from a theorem that has been proven. Of course, a theorem can be proven using a corollary to a previous theorem.