Question

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

Given: AB ≅ BC
BC ≅ EF

Prove: EG = AB + FG
It is part of the given information.
It is part of the argument.
It is the conclusion.
It is an assumption.

Answer 1

B, it is an argument

Explanation:

Answer 2

Option B is correct.

Reason:It is an argument

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