Thread: geometry

Prove that if D is the midpoint of Line BC and Line FE = Line BD.
then Line FE = Line DC.

1. D is the midpoint of Line BC, Line FE = Line BD
2. FE = BD
3. BD = DC
4. FE = DC
5. Line FE = Line DC

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

Originally Posted by 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

..