Question

CERTAIN ANSWERS ONLY!!! Please assist me, I will award you brain crown. thank you so much in advance :)

Answer 1

Answer:

See below.

Step-by-step explanation:

  Statements:                                         Reasons:

1) $\overline{AB}\cong\overline{CD}; \overline{CE}\cong\overline{AE}$                           Given

2) $AB=CD;CE=AE$                          Definition of Congruence

3) $AE+EB=AB;CE+ED=CD$      Segment Addition Postulate

4) $CE+EB=CD$                                   Substitution Property

5) $CE+ED=CE+EB$                        Transitive Property

6) $ED=EB$                                           Subtraction Property (of Equality)

7) $\overline{ED}\cong\overline{EB}$                                          Definition of Congruence