3. Theorem 5-1: Opposite sides of a parallelogram are congruent.
H
G
Given: ▱EFGH
Prove: EF HG ; FG
4
1
EH
2
E
3
Statements
Reasons
1. EFGH is a parallelogram.
2. Draw auxiliary line EG
1. Given
2. Through any two points
there is exactly one line.
How would you finish the proof?
F
6. Properties of
Parallelograms
The opposite sides are parallel (def)
The opposite sides are congruent (thm)
The opposite angles are congruent (thm)
The diagonals bisect each other (thm)