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If the diagonals of a quadrilateral bisect each other then what quadrilateral must be a parallelogram?
diagonals.
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.
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.
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.
What are the proofs that a quadrilateral ia s parallelogram?
There are 5 ways to prove a Quadrilateral is a Parallelogram. -Prove both pairs of opposite sides congruent -Prove both pairs of opposite sides parallel -Prove one pair of opposite sides both congruent and parallel -Prove both pairs of opposite angles are congruent -Prove that the diagonals bisect each other
What is a quadrilateral with opposite sides parallel and congruent?
trapezoid
What quadrilateral had opposite sides parallel and all sides congruent?
A square's opposite sides are parallel and all the sides are congruent.
If one pair of opposite sides of a quadrilateral is parallel and then the quadrilateral is a parallelogram?
Then, the opposite sides are congruent.
What is a quadrilateral whose opposite sides are parallel and congruent and whose opposite angles are congruent?
its a shape
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.
What is quadrilateral with opposite sides parallel and opposite sides congruent?
parellelagram
What is one way to prove that a quadrilateral is a parallegram?
* 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
