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CAHSEE Math Exam: Tutoring Solution21 chapters | 211 lessons

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Lesson Transcript

Instructor:
*Karin Gonzalez*

Karin has taught middle and high school Health and has a master's degree in social work.

In this lesson, we will review the definition of the segment addition postulate. We will also look at examples to clearly illustrate how this concept works in the real-world.

The **segment addition postulate** states that if we are given two points on a line segment, *A* and *C*, a third point *B* lies on the line segment *AC* if and only if the distances between the points meet the requirements of the equation *AB* + *BC* = *AC*. See Diagram 1 to gain a clearer understanding of this postulate definition.

Remember that a line segment is part of a line bound by two clear end points. It is comprised of a bunch of points between those two end points.

An easier way of stating the segment addition postulate is that if point *B* lies on line segment *AC*, then *AB* + *BC* will equal *AC*. That seems pretty simple, does it not?

Let's take a look at some different examples.

**Example 1:**

Let us look at a line segment on our body: our leg! Our leg has an endpoint *A*, the top of your thigh, and endpoint *C*, your ankle. Imagine the length of your entire leg (from endpoint *A* to *C*) measures 25 inches and the length from point *B*, your knee, to endpoint *C* is 12 inches. According to the segment addition postulate, what would be the length of Endpoint *A* to point *B*?

*AB* (unknown) + *BC* (12) = *AC* (25)

*AB* = 25 - 12

*AB* = 13 inches

**Example 2:**

Tim works in a line segment, a tall skyscraper in the city! Why is this a line segment? Because it has two defined endpoints: the top of the skyscraper (Endpoint *A*) and the very bottom (Endpoint *C*). The length of the building is measured in stories or floors, and Tim's building has 50 stories. If Tim's office represents point *B* on this line segment and he is located on the 14th floor, what is the length, in stories, from point *B* to endpoint *A* according to the segment addition postulate?

*AB* (unknown) + *BC* (14) = *AC* (50)

*AB* = 50 - 14

*AB* = 36 stories

**Example 3:**

Points *A*, *B*, *C* and *D* are all on line segment *AD*. What is the length of line segment *AB* given the information about line segment *AD* in Diagram 2?

According to the segment addition postulate, if segment *AD* is 40 inches and segment *BD* is 29 inches, then segment *AB* should be the value that when added to 29 will equal 40. Therefore segment *AB* would be 40 inches minus 29 inches, which equals 11 inches!

Let's review. The **segment addition postulate** states that if we are given two points on a line segment, *A* and *C*, a third point *B* lies on the line segment *AC* if and only if the distances between the points meet the requirements of the equation *AB* + *BC* = *AC*. It is important to remember that a line segment is part of a line that is bound by two endpoints and has many more points in between.

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CAHSEE Math Exam: Tutoring Solution21 chapters | 211 lessons

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- How to Graph Reflections Across Axes, the Origin, and Line y=x 6:07
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