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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.


If the diagonals of a quadrilateral bisect each other then what quadrilateral must be a parallelogram?

diagonals.


What is a quadrilateral with one pair of opposite sides parallel and the other pair of opposite sides congruent?

An isosceles trapezium


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.


A quadrilateral with exactly 1 pair of parrell sides and exactly 1 pair of congruent sides?

This quadrilateral is a trapezoid. In a trapezoid, one pair of opposite sides is parallel, and one pair of opposite sides is congruent. The other two sides are not parallel or congruent.


What is a quadrilateral with opposite sides parallel and opposite sides congruent called?

A quadrilateral with opposite sides parallel and opposite sides congruent is called a parallelogram. In a parallelogram, both pairs of opposite sides are equal in length and run parallel to each other. Common examples of parallelograms include rectangles, rhombuses, and squares, which have additional properties.


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 has one opposite side congruent and parallel?

It cannot be a quadrilateral because if one pair of opposite sides are congruent and parallel, it is a parallelogram and so the other two sides are also (mutually) congruent and parallel. Any polygon with 5 or more sides will have an irregular form which satisfies these conditions.


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


A quadrilateral having both diagonals congruent is a?

If both pairs of opposite sides are parallel: A Rectangle, or a Square. If exactly one pair of opposite sides are parallel: An Isosceles Trapezoid. If it does not have parallel sides and one diagonal is the perpendicular bisector of the other: A Kite It is also possible that it does not have any parallel sides and neither diagonal is the perpendicular bisector of the other: A quadrilateral


Are the sides of a rhombus congruent and parallel?

All 4 sides are congruent and opposite sides are parallel to each other.


Are all quadrilaterals parallelograms-?

Answer: A parallelogram is a quadrilateral with both pairs of opposite sides parallel. If a quadrilateral is a parallelogram, the 2 pairs of opposite sides are congruent. If a quadrilateral is a parallelogram, the 2 pairs of opposite angles are congruent. Answer: No. On the other hand, all parallelograms are quadrilaterals.