Exploring Segment Addition Postulate Concepts

This video tutorial explains the segment addition postulate, which states that the sum of two line segments equals the whole segment. The video provides three examples: finding line segment PR, solving for segment TL, and solving for x and segments YW, WK, and YK. Each example demonstrates how to apply the postulate to solve geometry problems.

What does the Segment Addition Postulate state?

• The difference between two segments is equal to the whole segment.

• The product of two segments is equal to the whole segment.

• The sum of two segments is equal to the whole segment.

• The sum of two segments is always less than the whole segment.

In the Segment Addition Postulate, if AB = 5 and BC = 7, what is AC?

• 10

• 35

• 2

• 12

If PQ = 4 and QR = 3, what is PR?

• 3

• 12

• 7

• 1

In the first example, what is the length of PR?

• 4

• 3

• 7

• 10

If TL + LG = TG and LG = 32, TG = 75, what is TL?

• 43

• 107

• 75

• 32

In the second example, what is the length of TL?

• 32

• 75

• 43

• 107

If YW = 4x + 50, WK = 6 - 2x, and YK = 5x + 65, what is the value of x?

• 5

• 0

• 3

• -3

In the third example, what is the length of YW when x = -3?

• 50

• 38

• 12

• 65

What is the length of WK when x = -3?

• 50

• 12

• 38

• 6

What is the length of YK when x = -3?

• 50

• 38

• 12

• 65