Question

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

Answer 1

See below.

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