CM3IQFWYL
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6-2: Properties of
Parallelograms
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•
Objectives:
To use relationships among sides and angles
of parallelograms
To use relationships among diagonals of
parallelograms
A
is a quadrilateral (4 sides,
4 angles) with both pairs of opposite sides
parallel.
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››
Parallelogram
𝐴𝐵𝐶𝐷 is a
A quadrilateral
»
𝑨
is a
Parallelogram
has exactly 2 pairs
of ‖ opposite sides
𝑫
»
𝑩
𝑪
Think about the “Parallelness” of a Parallelogram
What do we know about parallel lines?
›
›
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Parallelogram ≅ Opposite Sides Theorem
»
»
has 2 pairs of ≅
opposite sides
₌
₌
is a
Parallelogram
A quadrilateral
Parallelogram ≅ Opposite Angles Theorem
is a
Parallelogram
»
»
A quadrilateral
has 2 pairs of
≅ opposite
∠s
Parallelogram Consecutive Angles Theorem
is a
Parallelogram
»
»
A quadrilateral
has each ∠ supp.
to both of its
consecutive ∠s
(𝟏𝟖𝟎 − 𝒙)°
𝒙°
𝒙°
(𝟏𝟖𝟎 − 𝒙)°
Parallelogram Diagonals Bisect Theorem
is a
Parallelogram
»
𝑨
𝑫
A quadrilateral
»
𝑩
𝑪
has diagonals
that bisect
each other
Summary – Draw this and fill it in
»
»
»
»
»
»
»
»
»
»
: If three parallel lines
cut off congruent segments on one transversal, then they
cut off congruent segments on every transversal.
𝑚
𝑚
𝑛
𝑛
𝑘
𝑘
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