Answer:
See proof below.
Step-by-step explanation:
Statements Reasons
1. Seg. DE congr seg GF 1. Given
2. <1 congr. <2 2. Given
3. DE || GF 3. Theorem: If 2 lines are cut by a transversal such that alt int angle are congruent, then the lines are parallel
4. DEFG is a parallelogram 4. Theorem: If a quadrilateral has two sides that are congruent and parallel, then it is a parallelogram.