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A quadrilateral with both pairs of opposite sides congruent?
A quadrilateral with both pairs of opposite sides congruent 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.
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 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.
If both pairs of opposite sides of a quadrilateral are congruent then the quadrilateral is a parallelogram?
always
What is the Parallelogram Opposite Sides Converse?
If a quadrilateral has two pairs of opposite congruent sides, then the quadrilateral is a parallelogram.
A quadrilateral with both pairs of opposite sides congruent?
A quadrilateral with both pairs of opposite sides congruent 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.
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 are congruent then the quadrilateral is a parallelogram?
No, you need both pairs of opposite sides to be congruent (i.e. the same size) to be a parallelogram.
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.
If both pairs of opposite sides of a quadrilateral are congruent then the quadrilateral is a parallelogram?
always
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 quadrilateral has both pairs of opposite sides congruent?
A parallelogram has two pairs of congruent sides, and the opposite sides are congruent.
If one pair of opposite sides of a quadrilateral is congruent when is the quadrilateral a parallelogram?
sometimes
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 are congruent then it is a parallelogram?
No, it is not.
