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**dgenerationx2** Prove that if D is the midpoint of segment BC and Line segment FE = Line segment BD.

then Line segment FE = Line segment DC.

1. D is the midpoint of Line segment BC, Line segment FE = Line segment BD=====> GIVEN

2. FE = BD=====> GIVEN

3. BD = DC=====> DEFINITION OF MIDPOINT

4. FE = DC=====> TRANSITIVE PROPERTY

5. Line segment FE = Line segment DC======> DEFINITION OF CONGRUENT SEGMENTS

What is the reason for each step (1, 2, 3, 4, 5)

Here are the answers. which match the steps.

Transitive property

Symmetric property

Definition of midpoint

Definition of congruent segments

Addition property

Reflexive property

Substitution property