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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 else can I help you with?
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.
True or false the diagonals of a quadrilateral must bisect each other and be perpendicular to guarantee that the quadrilateral is a parallelogram?
False. Bisecting diagonals is sufficient to guarantee a parallelogram, but the diagonals will only be perpendicular if the sides of the parallelogram are equal.
The diagonals of a quadrilateral must bisect each other and be perpendicular to guarantee that the quadrilateral is a parallelogram?
False
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.
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.
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.
Which description does not guarantee that a quadrilateral is a square?
"It has four sides" is a description that does not guarantee that a quadrilateral is a square.
True or false the diagonals of a quadrilateral must bisect each other and be perpendicular to guarantee that the quadrilateral is a parallelogram?
False. Bisecting diagonals is sufficient to guarantee a parallelogram, but the diagonals will only be perpendicular if the sides of the parallelogram are equal.
Which description does not guarantee that a quadrilateral is a parallelogram?
A description that states a quadrilateral has one pair of opposite sides that are both equal and parallel does not guarantee that it is a parallelogram. While this condition is sufficient for proving that a quadrilateral is a parallelogram, it is not necessary; other configurations might exist where a quadrilateral meets this condition without being a parallelogram. Other descriptions, such as having both pairs of opposite sides equal or both pairs of opposite angles equal, would guarantee it is a parallelogram.
The diagonals of a quadrilateral must bisect each other and be perpendicular to guarantee that the quadrilateral is a parallelogram?
False
Is it true that The diagonals of a quadrilateral must bisect each other and be perpendicular to guarantee that the quadrilateral is a parallelogram?
no
The diagonals of a quadrilateral must bisect each other and be perpendicular to guarantee that the quadrilateral is a parallelogram.?
false
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 the quadrilateral a parallelogram?
To determine if a quadrilateral is a parallelogram, you can check if either pair of opposite sides is parallel and equal in length, or if the diagonals bisect each other. Additionally, if both pairs of opposite angles are equal, or if one pair of opposite sides is both parallel and equal in length, then the quadrilateral is a parallelogram. If any of these conditions are met, you can confidently classify the quadrilateral as a parallelogram.
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.
