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A parallelogram is a quadrilateral because it has 4 sides and all quadrilaterals have 4 sides such as a square, a rectangle, a rhombus ... etc

Q: What are not is efficient to prove that a quadrilateral is a parallelogram?

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A quadrilateral, in general, is not a parallelogram. If it is a parallelogram then you will have some additional information about its sides and angles. If you do not have such information it is not possible to prove that it is a parallelogram. Draw a diagonal which will divide the quadrilateral into two triangles and use the additional information that you have to show that the triangles are congruent. This can then be used to show equality of sides or of angles: the latter can then be used to show that sides are parallel. Note that the choice of which diagonal may influence how (if at all) you proceed.

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

No. A parallelogram is a special kind of 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.

The second statement is false.

Related questions

Which of the following is a valid reason why the quadrilateral shown below is a parallelogram?

If it is a parallelogram, then it has two sets of parallelogram sides. Parallelograms' opposite angles are congruent A parallelogram's bisectors are congruent. * * * * * A parallelogram's bisectors are NOT congruent.

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

I can use it when lines are joined together

A quadrilateral, in general, is not a parallelogram. If it is a parallelogram then you will have some additional information about its sides and angles. If you do not have such information it is not possible to prove that it is a parallelogram. Draw a diagonal which will divide the quadrilateral into two triangles and use the additional information that you have to show that the triangles are congruent. This can then be used to show equality of sides or of angles: the latter can then be used to show that sides are parallel. Note that the choice of which diagonal may influence how (if at all) you proceed.

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.

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

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

No. A parallelogram is a special kind of quadrilateral.

In this case, the quadrilateral is sometimes a parallelogram.

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

No, a parallelogram is not another kind of quadrilateral.