false
true
False. If both pairs of opposite angles of a quadrilateral are congruent then the quadrilateral is a parallelogram.
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.
For the quadrilateral to be a parallelogram, both pairs of opposite angles must be congruent.
If a quadrilateral has two pairs of opposite congruent sides, then the quadrilateral is a parallelogram.
always
A quadrilateral with both pairs of opposite sides congruent is a parallelogram.
No, you need both pairs of opposite sides to be congruent (i.e. the same size) to be a parallelogram.
If both pairs of opposite angles of a quadrilateral are congruent, then it is a parallelogram.
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.
Every parallelogram is.
Then, the opposite sides are congruent.