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When is a quadrilateral also a parallelogram?












































quadrilateral and parallelogram

A quadrilateral is any two-dimensional geometric figure (polygon) with four straight sides and four vertices.

There are many different types of quadrilaterals. They can be concave, convex, or complex. A partial list of the most common examples includes:

square
rectangle
rhombus
kite
parallelogram
trapezoid
trapezium
concave quadrilateral
complex quadrilaterals (when
two sides cross over one another)


The two diagonals of a quadrilateral always bisect one another.

When is a quadrilateral also a parallelogram?

Comments for When is a quadrilateral also a parallelogram?

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May 07, 2014
quadrilateral and parallelogram
by: Staff


Answer


Quadrilaterals





A quadrilateral is a parallelogram when the following characteristics are true:

1. opposite sides are parallel
2. opposite sides are of equal length
3. opposite interior angles are equal (the sum of the four interior angles of every quadrilateral will always = 360°)


The rectangle, square, and rhombus shown in the diagram are also parallelograms.



Parallelogram








Thanks for writing.

Staff
www.solving-math-problems.com


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