showing consecutive angles are congruent
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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.
-- quadrilateral -- parallelogram
A quadrilateral is a generic term used to describe a four sided polygon. In other words, it is a shape that has four sides.A rectangle, rhombus, parallelogram and trapezium (trapezoid) has four sides. In light of this, it can be classified as a quadrilateral but, if the quadrilateral has no sides and angles equal, it could not be classified as any of the foregoing.
A quadrilateral is a term used to describe a rhombus. A rhombus has at least two equal sides, and is also referred to as a parallelogram. As long as the rhombus has two equal sides, it will always be considered a parallelogram.
They can be. * * * * * No, they cannot be. A parallelogram is a term used for four sided figures.