Question

use the given information to prove that df = eg. given: de = fg prove: df = eg

Explanation:

Step1: Add EF to both sides of the equation

$DE = FG$ implies $DE+EF=FG + EF$.

Step2: Use segment - addition postulate

By the segment - addition postulate, $DE + EF=DF$ and $FG+EF = EG$.

Step3: Substitute the segment sums

Since $DE + EF=DF$ and $FG + EF = EG$ and $DE+EF=FG + EF$, we can conclude that $DF=EG$.

Answer:

$DF = EG$