Question

A

[1] Angle Addition Postulate[2] Subtraction Property of Equality
b
[1] Substitution Property of Equality [2] Transitive Property of Equality
c
[1] Segment Addition Postulate [2] Definition of Congruent Segments
d
[1] Segment Addition Postulate[2] Substitution Property of Equality

Answer 1

The answer is D. First, it is the segment addition postulate because the two segments make up the whole. Second, it's substitution because you are substituting EF + FG for FH.

Hope this helps!

Answer 2

d:(1)Segment addition Postulate

(2).Substitution Property of equality.

Explanation:

We are given that

EG=FH

We have to write a justification for each step.

1.EG=FH

Given information

2.EG=EF+FG

Segment addition Postulate

3.FH=FG+GH

Segment addition postulate

4.EF+FG=FG+GH

Substitute property of equality

`EF=GH`

Subtraction property of equality

Answer:d:(1)Segment addition Postulate

(2).Substitution Property of equality.