Of the quadrilaterals: a square, a rectangle, a parallelogram and a rhombus
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Any polygon with 2n sides (n integer) where opposite sides are parallel, will have its opposite angles congruent.
* both pairs of opposite sides are parallel * both pairs of opposite sides are congruent * all angles are 90 degrees * both pairs of opposite angles are congruent * the diagonals bisect each other.
There are many such shapes. Any polygon with an even number of sides can have opposite sides that meet the above requirements.
If a quadrilateral has two pairs of opposite congruent sides, then the quadrilateral is a parallelogram.
There are 5 ways to prove a Quadrilateral is a Parallelogram. -Prove both pairs of opposite sides congruent -Prove both pairs of opposite sides parallel -Prove one pair of opposite sides both congruent and parallel -Prove both pairs of opposite angles are congruent -Prove that the diagonals bisect each other