6.2

Shane O'Leary

Theorem 6-1

Opposite sides of a parallelogram are congruent
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113+x=180


x=67

Theorem 6-2

Opposite angles of a parallelogram are congruent
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3x+2=14


3x=12


x=4


3(4)+2=14

Theorem 6-3

The diagonals of a parallelogram bisect each other
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Theorem 6-4

If three (or more) parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal
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x+2=y


2x=x+2+3


x=5


(5)+2=y


y=7