Question

Which part of the proof does the fourth statement and reason represent?

Answer 1

Answer:

Option B is correct.

Reason:It is an argument

Step-by-step explanation:

Given: $AB \cong BC$  and $BC \cong EF$

By transitive property:  a = b  and b = c then, a =c

⇒$AB \cong EF$

AB = EF                                [def of $\cong$ segment]

By Segment Addition Postulate states that given  two points A and C, and a third point B lies on the line segment AC if and only if the distances between the  points satisfy the equation

AB + BC = AC.

Since, the line segment EG , F lies on the line segment;

then, by segment addition postulates we have;

EG = EF + FG

By substitution AB=EF

⇒ EG = AB + FG                     hence proved!

Since, in the fourth statement reason is:  It is an argument