Question

What postulate would justify the following statement if D is between A and B then Ad plus DB equals Ab

Answer 1

Segment Addition Postulate

Explanation:

The whole line segment would be AB. The midpoint of the line segment would be D. If we add AD (the first portion of the line segment), and DB (the second portion of the line segment), then we get AB (A-D-B)

Representation:

(AD) (DB)

|--------------------------|---------------------------|

A D B

|------------------------------------------------------|

(line segment AB)

Answer 2

Segment addition postulate justify the statement if D is between A and B then Ad plus DB equals Ab

Explanation:

This postulate states that if two points A and B are given and third point D lies on line segment AB only if distance between the points satisfy the equations AD+DB=AB.