NOT ALL REASONS WILL BE USED!
PARALLELOGRAM
Proof
Directions: Complete the proof to the right using the statements and reasons.
LE = LC
Given: EFCG is a parallelogram
LA = LE. EF || AB.
LEFC = LD
Prove:
ABCD is a parallelogram
D
Transitive Property
Alternate Interior L's
LB = LD
Statements
Reasons
EFCG is a parallelogram
Given
2.
2≥ LL
2.
Given
3.
EF I| AB
3.
Given
LEFC = 2D
4.
Given
5. LE = LC
6. LA = LE
7. LB = LD
8. ABCD is a parallelogram
1. Transitive Property
4. Alternate Interior Angles
5. Given
6. Given
7. Given
8. Definition of a parallelogram