Segment Addition Concepts and Applications

This video tutorial covers lesson 1.2 on segment addition. It begins with an introduction to the lesson objectives, followed by a review of the concept of absolute value as a measure of distance. The tutorial then explains how to find the distance between two points on a number line using absolute value. It introduces the segment addition postulate, which states that the sum of two smaller segments equals a larger segment. The video concludes with examples of applying the segment addition postulate to solve for unknown values and find missing segment lengths.

What is the absolute value of -5?

• 10

• 5

• 0

• -5

If you walk 3 steps to the right and then 3 steps to the left, what is the total distance covered?

• 6 steps

• 9 steps

• 3 steps

• 0 steps

How do you find the distance between the points 2 and 10 on a number line?

• Multiply 2 and 10

• Add 2 and 10

• Subtract 2 from 10

• Divide 10 by 2

What is the distance between -3 and 5 on a number line?

• 8

• 10

• 5

• 2

What does the notation 'XY' without a line above it represent?

• A point

• A segment

• The distance between X and Y

• An angle

According to the segment addition postulate, if AB = 3 and BC = 4, what is AC?

• 7

• 4

• 3

• 1

If DE = 5 and EF = 7, what is DF according to the segment addition postulate?

• 7

• 12

• 5

• 2

Given CD = x + 7 and DE = x + 2, and CE = 7, what is the value of x?

• 2

• 1

• 0

• -1

If LK = x + 7 and KJ = x + 5, and LJ = 12, what is the value of x?

• 2

• 0

• 3

• 1

If AB = 4 and BC = 5, what is AC?

• 9

• 1

• 5

• 4