A quadrilateral with both pairs of opposite sides congruent is a parallelogram.
always
Diamond
That's a rhombus.
Theorem A: A quadrilateral is a parallelogram if its opposite sides are congruent. Theorem B: A quadrilateral is a parallelogram if a pair of opposite sides is parallel and congruent. Theorem C: A quadrilateral is a parallelogram if its diagonals bisect each other. Theorem D: A quadrilateral is a parallelogram if both pairs of opposite angles are congruent.
A quadrilateral with both pairs of opposite sides congruent is a parallelogram.
always
Diamond
Trapezoid.
If a quadrilateral has two pairs of opposite congruent sides, then the quadrilateral is a parallelogram.
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
No, you need both pairs of opposite sides to be congruent (i.e. the same size) to be a parallelogram.
parallelogram.
parallelogram
Parallelogram
That's a rhombus.