Drag a reason to each box to complete the proof. given: df=eg segment d g with points d e f g on the segment in order from left to right prove: de=fg

DG is a given line segment with points D E F G on the segment in order from left to right as shown in the given image.

1. DF = EG (Given)

2. As, DF=DE+EF

and EG=EF+FG

Also, DF=EG (Given)

Substituting the values of DF and EG in the given equation,

DE+EF = EF+FG (Substitution property of equality)

Subtracting EF from both the sides ,

DE=FG (Subtraction property of equality).

The answered table is attached.

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step-by-step explanation:

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step-by-step explanation: