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If one pair of sides of a quadrilateral is parallel and congruent then the quadrilateral is a parallelogram?
== == yes. suppose the quad ABCD has AB and CD equal and parallel. Then the triangles ABC and CDA are congruent by SAS axiom; so the quad is a parallelogram
What are some quad angle with no pair of parallel sides?
it not a straigh line
How many parallel lines does a quadrilateral have?
A quadrilateral is any figure with 4 sides. ("quad" = 4, "latus" = side). It doesn't have to have any parallel lines. If it happens to have two sides that are parallel, then it's a trapezoid. If it happens to have two pairs of parallel sides, then it's a parallelogram. Common parallelograms are rectangles, squares, and kites.
Do all quadrilaterals have two parallel sides?
No, because quad means four (4) and lateral means sides. Any four-sided shape is a Quadrilateral. But the sides have to straight and a two-dimensional (2d). Some quadrilaterals have two (2) parallel sides, like a parallelogram.
What shape has two pairs of parallel sides?
Any polygon with any even number of sides CAN have 2 pairs of parallel lines. Parallelograms, rhombuses, rectangles, and squares always do.The shape that has two pairs of parallel sides is a parallelogram. It is either a rectangle, rhomboid, square, or rhombus (all special cases of the parallelogram)The set of parallelograms is is often confused with the set of trapezoids. Trapezoids are a little confusing in themselves because, although mathematicians world-wide define them as quads with two (and only two) parallel sides, in Britain trapezoid is sometimes used to refer to a quad with no parallel sides. ref. Merriam-Webster's Collegiate Dictionary.
