A parallelogram has two pairs of congruent sides, and the opposite sides are congruent.
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
Yes, if both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is indeed a parallelogram. This is one of the properties that define parallelograms: if a quadrilateral has two pairs of sides that are equal in length, it ensures that the opposite sides are parallel. Thus, the statement is true based on the properties of quadrilaterals.
No, you need both pairs of opposite sides to be congruent (i.e. the same size) to be a parallelogram.
parallelogram.
parallelogram
Parallelogram