Proof for line segmants

Question

What is the poof of, given: AB is congruent to DE; C is the midpoint of BD. Prove: AC is congruent to CE

Answer 1

Pretty quick proof, all that is needed is the Given, Definition of Midpoint, the Segment Addition Postulate

AB is congruent to DE -> Given

C is the midpoint of BD -> Given

BC is congruent to CD -> Definition of a midpoint

AB + BC = AC

DE + CD = CE -> Segment Addition Postulate

AB + BC = AC

AB + CD = CE -> Substitution Property

AB + BC = AC

AB + BC = CE -> Substitution Property

AC = CE -> Transitive Property