A polygon with 2n sides (n>1) can have opposite sides congruent.
Trapezoid.
* both pairs of opposite sides are parallel * both pairs of opposite sides are congruent * both pairs of opposite angles are congruent * one pair of opposite sides are parallel and congruent * both diagonals bisect each other * all consecutive angle pairs are supplementary
No, it doesn't have to be. A quadrilateral can definitely be a parallelogram only if: - Both pairs of opposite sides are parallel. - Both pairs of opposite sides are congruent. - One pair of opposite sides are both congruent and parallel. - Both pairs of opposite angles are congruent. - The diagonals bisect each other.
a rhombus
A parallelogram has two pairs of congruent sides, and the opposite sides are congruent.
Of the quadrilaterals: a square, a rectangle, a parallelogram and a rhombus
A quadrilateral with both pairs of opposite sides congruent is a parallelogram.
A polygon with 2n sides (n>1) can have opposite sides congruent.
Diamond
Trapezoid.
2 pairs, the sides opposite each other are congruent to each other
* both pairs of opposite sides are parallel * both pairs of opposite sides are congruent * both pairs of opposite angles are congruent * one pair of opposite sides are parallel and congruent * both diagonals bisect each other * all consecutive angle pairs are supplementary
No, it doesn't have to be. A quadrilateral can definitely be a parallelogram only if: - Both pairs of opposite sides are parallel. - Both pairs of opposite sides are congruent. - One pair of opposite sides are both congruent and parallel. - Both pairs of opposite angles are congruent. - The diagonals bisect each other.
A kite
Both pairs of opposite sides are parallel + congruent, and both pairs of opposite angles are also congruent.
rectangle