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
What’s the correct questions for each answer
1. Why is it given that EFCG is a parallelogram?
2. Why is it necessary to use the transitive property in this proof?
3. Why is it significant that EF is parallel to AB?
4. Why is it significant that LEFC is equal to 2D?