Statements Reasons
1.
DEF
Given
2.
DEG FGE
2. Alternate Interior Angles
PARALLELOGRAM PROOFS
Given: DE FG
Proof
GC EN
ZDCE = ZFHG
6
Prove:
GDEF is a parallelogram
Directions: Complete the proof to the right by dragging the
reasons below to correspond with the statements in the proof.
NOT ALL REASONS WILL BE USED.
Substitution Property
CPCTC
3. DCE - FRIG
3.
Given
4 GER
4.
Given
5.
GH HC - GC
HC - EG - EN
5.
place reason here
6.
GHHOH
6.
place reason here
Alternate Exterior Angles
One pair of opp. sides
ore and a
7. GH-HC HC-EC
7.
ploce reason horo
8.
GH - EC
8.
place reason here
ASA A Congruence
Defn. of Congruence
9. GHEC
9.
place reason here
Subtraction Property
Substitution Property
10. MC 10
10
placa reason here
Segment Addition
Postulate
11. DAG
11.
place reason here
AAS A Congruence
12. GDEF is a parallelogrom
12.
place reason here
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Wings Agroc), 2011