Segment Addition and Length Problems

This video tutorial covers the concept of the segment addition postulate, which states that if three points A, B, and C are collinear and B is between A and C, then the sum of the segments AB and BC equals the segment AC. The tutorial includes an example problem where the total segment length is given, and viewers are guided through solving for unknown segment lengths using algebra. A practice problem is also provided for viewers to try on their own, with a solution walkthrough included.

What does the segment addition postulate state about collinear points A, B, and C?

• AB / BC = AC

• AB * BC = AC

• AB - BC = AC

• AB + BC = AC

In the segment addition postulate, what does it mean for points to be collinear?

• They form a triangle

• They are at right angles

• They are on the same line

• They form a circle

If EG is 59, what equation can be set up using the segment addition postulate?

• EF * FG = 59

• EF - FG = 59

• EF / FG = 59

• EF + FG = 59

What is the first step in solving for x in the example problem?

• Divide 59 by 2

• Multiply 8x by 4x

• Subtract 14 from 59

• Add 8x and 4x

After solving for x, what is the length of segment EF?

• 25

• 34

• 48

• 59

What is the length of segment FG after solving the example problem?

• 25

• 34

• 59

• 48

How do you verify the solution for the lengths of EF and FG?

• Divide EF by FG

• Multiply EF and FG

• Subtract EF from FG

• Add EF and FG

In the practice problem, what is the total length of segment JL?

• 72

• 42

• 120

• 150

What value of x is found in the practice problem?

• 6

• 9

• 12

• 15

What is the length of segment KL in the practice problem?

• 150

• 72

• 120

• 42