Adding Segments

If AB + BC = AC, what does it represent in the context of line segment addition postulate?

• Subtraction of line segments

• Multiplication of line segments

• Division of line segments

• Addition of line segments

What is the line segment addition postulate?

• The line segment addition postulate states that if three points A, B, and C are collinear, then the distance between A and C is the sum of the distance between A and B and the distance between B and C.

• The line segment addition postulate states that the distance between two points is always negative

• The line segment addition postulate states that the distance between two points is always a fraction

• The line segment addition postulate states that the distance between two points is always a whole number

In a line segment XYZ, if XY = 5 and YZ = 3, what is the length of XZ?

• 8

• 4

• 7

• 10

Explain how the addition postulate is used to solve problems involving line segments.

• The addition postulate is used to find the area of a line segment

• The addition postulate is used to find the length of a line segment by adding the lengths of its parts.

• The addition postulate is used to find the midpoint of a line segment

• The addition postulate is used to subtract the lengths of line segments

In a real-life scenario, how can the addition postulate be applied to measure distances?

• By dividing the lengths of different segments

• By multiplying the lengths of different segments

• By adding the lengths of different segments or distances together.

• By subtracting the lengths of different segments

How does the addition postulate relate to the concept of midpoint in a line segment?

• The addition postulate relates to the concept of midpoint in a line segment by stating that the distance from one endpoint to the midpoint plus the distance from the midpoint to the other endpoint equals the total length of the line segment.

• The addition postulate states that the distance from one endpoint to the midpoint multiplied by the distance from the midpoint to the other endpoint equals the total length of the line segment

• The addition postulate states that the distance from one endpoint to the midpoint minus the distance from the midpoint to the other endpoint equals the total length of the line segment

• The addition postulate states that the midpoint is irrelevant in determining the length of the line segment

Provide an example of a real-life situation where the addition postulate is used to calculate distances or lengths.

• Surveying

• Farming

• Astronomy

• Cooking

Considering the postulate of adding segments of a line, if AB = 12 cm, BC = 8 cm, and AC = 20 cm, is point B between A and C?

• Yes

• No

Using the postulate of adding line segments, if point B lies on line segment AC, and AB = 4x, BC = 2x - 5, and AC = 25, what is the value of x?

• 5

• 6

• 7

• 8

Ramon and Annabelle are working on a math problem together. They need to find the midpoint of a line segment with endpoints at (1,2) and (5,6). What is the midpoint of this line segment?

• (3, 4)

• (2, 3)

• (4, 5)

• (6, 8)