Quadrilaterals

Parallelogram

Trapezoid

Quadrilaterals

Rectangles, rhombuses and squares are sometimes referred to as special parallelograms.

Square

Conditions of RectanglesIf one angle of a parallelogram is a right angle, then the parallelogram is a rectangle.If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.

Some Special Quadrilaterals

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Conditions for ParallelogramsIf one pair of opposite sides of a quadrilateral are parallel and congruent, then the quadrilateral is a parallelogram.If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.If both pairs of opposite angles of a quadrilateral are congruent, then the auadrilateral is a parallelogram.

Conditions of Parallelograms (con't.)If an angle of a quadrilateral is supplementary to both its consecutive angles, then the quadrilateral is a parallelogram.If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

BibliographyBurger, Edward B. Geometry. Orlando, Fl.: Holt McDougal, 2013. Print.https://en.wikipedia.org/wiki/Parallelogramhttps://en.wikipedia.org/wiki/Rectanglewww.mathwarehouse.com