Answer:
See below.
Step-by-step explanation:
Statements: Reasons:
1) [tex]\overline{AB}\cong\overline{CD}; \overline{CE}\cong\overline{AE}[/tex] Given
2) [tex]AB=CD;CE=AE[/tex] Definition of Congruence
3) [tex]AE+EB=AB;CE+ED=CD[/tex] Segment Addition Postulate
4) [tex]CE+EB=CD[/tex] Substitution Property
5) [tex]CE+ED=CE+EB[/tex] Transitive Property
6) [tex]ED=EB[/tex] Subtraction Property (of Equality)
7) [tex]\overline{ED}\cong\overline{EB}[/tex] Definition of Congruence
