Answer: They are equal to eachother.
Step-by-step explanation: To prove this we can denote the length of DE as x, the length of EF as y, and the length of FG as z. If DE = FG, then x = z. We need to find DF and EG which are DE+EF and EF+FG (x+y , y+z) respectively. We know that x = z, we simply add +y to the both sides of the equation, we obtain x+y=z+y, so DF = EG.