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

nitraiddQ 2021-07-18 Answered
To Proof: If \(\displaystyle\overline{{{D}{F}}}\stackrel{\sim}{=}\overline{{{E}{G}}}\) then x = 10
Given:
image
Given: \(\displaystyle\overline{{{D}{F}}}\stackrel{\sim}{=}\overline{{{E}{G}}}\)

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Expert Answer

Ayesha Gomez
Answered 2021-07-19 Author has 11013 answers
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.
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