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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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∙ 13y ago
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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.
What can determine if a quadrilateral is a parallelogram?
There are many different ways but a defining characteristic is that is has two pairs of parallel sides.
Can congruent angles determine if there is a parallelogram?
If both pairs of opposite angles of a quadrilateral are congruent, then it is a parallelogram.
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.
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.
Is this statement true or falseThere is not enough information to determine whether the quadrilateral shown is a parallelogram?
true
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 can determine if a quadrilateral is a parallelogram?
There are many different ways but a defining characteristic is that is has two pairs of parallel sides.
What are three different names of a square?
Square, Quadrilateral, and Parallelogram.
