Question

Use the given information to prove that DF=FG.
PLEASE HELP ME!!!

Answer 1

DF is proved to be equal to FG using segment addition property

How to complete the proof

The two column proof is written as follows

Statement Reason

CF ≅ FG given

CD ≅ EF given

CF = CD + DF segment addition property

FG = EF + FG segment addition property

CD + DF = EF + FG substitution property of equality

CD + DF = CD + FG substitution property of equality

DF = FG Subtraction property

Answer 2

Explanation:

Given

`CF=EG\\CD=EF`

Now, CF and EG can be breakdown to written as

`\Rightarrow CD+DF=EF+FG`

Now CD can be replaced by EF as they are equal

`\Rightarrow EF+DF=EF+FG\\\Rightarrow DF=FG`

Hence proved