Segment Addition Postulate Explained

The video tutorial explains the segment addition postulate, which allows the addition of smaller segment lengths to equal a larger segment length. It provides two example problems to demonstrate how to apply the postulate in solving for unknown segment lengths using algebraic equations.

What does the Segment Addition Postulate allow you to do?

• Subtract smaller segments from a larger segment

• Multiply the lengths of smaller segments

• Divide a segment into smaller equal parts

• Add smaller segments to get the length of a larger segment

In the Segment Addition Postulate, if point C is between points A and B on a line segment, what is the relationship between AC, CB, and AB?

• AC * CB = AB

• AC - CB = AB

• AC / CB = AB

• AC + CB = AB

Given the lengths CO = 2x + 8 and OW = 3x - 5, and the total length CW = 53, what is the first step to find the value of x?

• Subtract CO from CW

• Set up the equation CO + OW = CW

• Multiply CO and OW

• Divide CW by CO

After setting up the equation 2x + 8 + 3x - 5 = 53, what is the next step?

• Add 5 to both sides

• Divide both sides by 5

• Subtract 8 from both sides

• Combine like terms

What is the length of OW if x = 10?

• 25 units

• 20 units

• 35 units

• 30 units

In the second example, what is the total length of CT given as?

• 2x + 8

• 8x - 10

• x + 4

• 3x + 10

What is the equation set up to solve for x in the second example?

• x + 4 / 3x + 10 = 8x - 10

• x + 4 * 3x + 10 = 8x - 10

• x + 4 - 3x + 10 = 8x - 10

• x + 4 + 3x + 10 = 8x - 10

What is the value of x in the second example problem?

• 5

• 6

• 4

• 7

What is the length of CA if x = 6?

• 12 units

• 8 units

• 10 units

• 14 units

What is the length of CT if CA = 10 units and AT = 28 units?

• 40 units

• 35 units

• 38 units

• 30 units