PARALLELOGRAM

Question

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

Answer 1

5. LE = LC

5. Given

6. LA = LE

6. Given

7. LA = LC

7. Substitution Property

8. LB = LD

8. Alternate Interior Angles

9. ABCD is a parallelogram

9. Definition of a parallelogram