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Use some of the properties of parallelograms. Any of the following properties are sufficient to ensure that a quadrilateral is a parallelogram:
- Both pairs of opposite segments are parallel.
- Both pairs of opposite segments have the same length (i.e., if you name the sides a, b, c, and d, sides a and c - which are opposite - have the same length; sides b and d - which are opposite - also have the same length between themselves).
- Both pairs of opposite angles have the same measure.
- There are probably other possibilities, too.
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Earn +20 ptsQ: How do you determine if the quadrilateral is a parallelogram?
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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.
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.
An quadrilateral parallelogram?
Yes, such a quadrilateral can exist.
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