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It will have 4 sides, 2 pairs of opposite parallel sides and 2 equal interior obtuse angles with 2 equal interior acute angles.

Its 4 interior angles add up to 360 degrees.

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Q: What are conditions that a quadrilateral is a parallelogram?
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Which of these conditions does not guarantee that a quadrilateral is a parallelogram?

None of the conditions on the list that accompanies the question guarantees that a quadrilateral is a parallelogram. But then, none of them prevents it either.


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.


Why is a parallelogram always a quadrilateral but a quadrilateral is only sometimes a parallelogram?

A parallelogram must have 4 sides and so it must be a quadrilateral. However, the sides of a quadrilateral need not be parallel so a quadrilateral need not be a parallelogram.


Is it true that the diagonals of a quadrilateral must bisect each other and be perpendicular to guaantee that the quadrilateral is a parallelogram?

No. It is false. If both of those conditions are met, then the quadrilateral is a square.


What is a quadrilateral parallelogram?

A quadrilateral is a polygon with four sides. A parallelogram is a quadrilateral in which the opposite sides are parallel.


Is parallelogram and quadrilateral the same thing?

No. A parallelogram is a special kind of quadrilateral.


What shape is a parallelogram but not a quadrilateral?

A shape that is a parallelogram but not a quadrilateral doesn't exist.


If one diagonal of a quadrilateral bisects the other when is the quadrilateral a parallelogram?

In this case, the quadrilateral is sometimes a parallelogram.


If opposite angles of a quadrilateral are supplementary is the quadrilateral a parallelogram?

No. A quadrilateral is a parallelogram when consecutiveangles are supplementary.


Is a parallelogram any other kind of quadrilateral?

No, a parallelogram is not another kind of quadrilateral.


How do you find a parallelogram in a quadrilateral?

It's not a matter of 'finding' it. Either the quadrilateral is a parallelogram,or else it is not one.If the opposite sides of the quadrilateral are parallel, then it's a parallelogram.


What are three different names of a square?

Square, Quadrilateral, and Parallelogram.