Question

Statement: Reasons:

DF=EG.
DE
Prove: DE=FG
Statements
DF=EG
DF=DE+EF.
EG=EF+FG
DE+EF=EF+ FG
FL
G

Answer 1

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Explanation:

Answer 2

To clarify the statements and reasons provided:

Statements:
1. DF = EG
2. DF = DE + EF
3. EG = EF + FG

Reasons:
1. Given
2. Definition of segment addition postulate
3. Definition of segment addition postulate

To prove: DE = FG

To proceed with the proof, we can use the transitive property:

DE + EF = EF + FG

Next, we can subtract EF from both sides:

DE = FG

Therefore, we have shown that DE is equal to FG.