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Classification of Quadrilaterals
from Viewpoint of "Symmetry"
Isosceles (isogonal) trapezoids and kite-shapes as line-symmetrical quadrilaterals
Parallelograms as rotationally symmetrical quadrilaterals
Moreover, squares as
regular quadrilaterals
Rectangles and rhombi as line-symmetrical quadrilaterals
Parallelograms can be characterized as such quadrilaterals that each pair of opposite sides are parallel.
Trapezoids as such quadrilaterals that a pair of opposite sides are parallel.
