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Mathematics
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trapezium
a quadrilateral with at least one pair of opposite sides parallel
parallelogram
a quadrilateral with both pairs of opposite sides parallel
rhombus
a parallelogram with two adjacent sides equal in length
rectangle
a parallelogram with one angle a right angle
square
a rectangle with two adjacent sides equal or a rhombus that contains a right angle
a quadrilateral is a parallelogram if:
both pairs of opposite angles are equal
both pairs of opposite sides are equal
one pair of sides is both equal and parallel
the diagonals bisect with each other
tests for a rhombus
all sides are equal
diagonals bisect with each other at right angles
tests for a rectangle
all angles are equal
diagonals are equal and bisect with each other