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Parallelograms: 1.)opposite side of a parallelogram are parallel and you can prove that by finding the slope for both lines. 2.) opposite sides of a parallelogram are congruent 3.) diagonals bisect each other 4.)opposite angles are congruent 5.) consecutive angles are supp. *Remember that alternate interior angles are congruent.
If one angle is right, then all angles are right. The diagonals of a parallelogram bisect each other. Opposite angles are congruent. Opposite sides are congruent. Consecutive angles are supplementary.
All angles of a parallelogram are not necessarily congruent. A parallelogram means that the opposite sides run in straight lines that don't intersect. An example is a rectangle or square. Length of sides DO NOT determine if opposite angles are congruent. As long as opposite sides do not intersect each other at any point (if you continue to draw the lines), then the angles diagonal from each other are the same.
A square
vertical angles Congruent