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Parallelogram
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Areas of Parallelograms, Triangles, and Trapezoids
Concept
Parallelogram
A
parallelogram
is a
quadrilateral
with two pairs of
parallel
sides. Parallelograms can be divided into three main types:
rectangles
,
rhombuses
, and
squares
.
The following properties are true for all parallelograms.
Property
Justification
The opposite sides are
congruent
Parallelogram Opposite Sides Theorem
The opposite angles are
congruent
Parallelogram Opposite Angles Theorem
The
diagonals
bisect each other
Parallelogram Diagonals Theorem
These properties are illustrated graphically in the next diagram.
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