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What is the Opposite Sides Parallel and Congruent Theorem?

The Opposite Sides Parallel and Congruent Theorem states that if a quadrilateral has a pair of opposite sides that are parallel and congruent, then the quadrilateral is a parallelogram.


One pair of opposite sides of a quadrilateral is and congruent then the quadrilateral is a parallelogram?

Parallel


If one pair of opposite sides of a quadrilateral is parallel and then the quadrilateral is a parallelogram?

Then, the opposite sides are congruent.


If one pair of opposite sides of a quadrilateral is congruent then the quadrilateral is a parallelogram?

No. The congruent sides need not be parallel.


Conditions which guarantee that a 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.


If two opposite sides of a quadrilateral are parallel and congruent then the quadrilateral is a parallelogram?

False


What is the best name for a quadrilateral with opposite sides congruent and parallel?

A parallelogram.


What quadrilateral has two pairs of opposite sides that are congruent and parallel?

parallelogram.


How many point does a parallelogram have?

A parallelogram. Opposite sides are parallel and congruent.parallelogram is a quadrilateral with two sets of parallel sides. The opposite sides of a parallelogram are of equal length, and the opposite angles of a parallelogram are congruent. The three-dimensional counterpart of a parallelogram is a parallelepiped.Parallelogram - A quadrilateral whose opposite sides are parallel


A quadrilateral with both pairs of opposite sides parallel and congruent?

That's a parallelogram.


What is a quadrilateral with opposite sides parallel and congruent and no right angle?

It is a rhombus or a parallelogram


If one side of a quadrilateral is congruent to its opposite side 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.