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Geometry 6-2
Properties of Parallelograms
Properties of Parallelograms…
1. Both pairs of opposite sides of a parallelogram are
parallel (definition).
Properties of Parallelograms…
2. Opposite sides of a parallelogram are congruent.
Properties of Parallelograms…
3. Consecutive angles of a parallelogram are
supplementary.
Properties of Parallelograms…
4. Opposite angles of a parallelogram are congruent.
Properties of Parallelograms…
5. The diagonals of a parallelogram bisect each
other.
If three (or more) parallel lines cut off congruent
segments on one transversal, then they cut off
congruent segments on every transversal.
A
C
E
B
D
F
If AC = CE, then BD = DF.
Section 6-3
6 ways to prove a quadrilateral is a
parallelogram…
(See page 371. Draw a diagram for each!)
 1. Both pairs of opposite sides are parallel.
(Definition)
 2. Both pairs of opposite sides are congruent.
 3. An angle is supplementary to both of its
consecutive angles.
 4. Both pairs of opposite angles are congruent.
 5. Diagonals bisect each other.
 6. One pair of opposite sides is both parallel and
congruent.