# Prove the congruence \overline{DF}\cong\overline{EG}

To Proof: If $$\displaystyle\overline{{{D}{F}}}\stackrel{\sim}{=}\overline{{{E}{G}}}$$ then x = 10
Given:

Given: $$\displaystyle\overline{{{D}{F}}}\stackrel{\sim}{=}\overline{{{E}{G}}}$$

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Ayesha Gomez
Since $$\displaystyle\overline{{{D}{F}}}\stackrel{\sim}{=}\overline{{{E}{G}}}$$
Therefore by using the defination of congruence.
DF=EG
Thus
11=2x-9
11+9=2x
2x=20
x=10
Hence proved.