Understanding the Ruler and Segment Addition Postulates

This video tutorial covers the ruler postulate and the segment addition postulate. It explains how to determine the distance between two points using the ruler postulate, which involves calculating the absolute value of the difference between two numbers. The segment addition postulate is also discussed, illustrating how the sum of the lengths of two segments equals the length of the entire segment. Examples are provided to clarify these concepts.

What are the two main postulates discussed in this lesson?

• Segment and Angle Postulates

• Distance and Midpoint Postulates

• Ruler and Segment Addition Postulates

• Ruler and Angle Postulates

According to the ruler postulate, how is the distance between two points determined?

• By taking the absolute value of the difference between the coordinates

• By adding the coordinates of the points

• By dividing the coordinates of the points

• By multiplying the coordinates of the points

If the distance from point A to point B is 15, what is the distance from B to A?

• 30

• -15

• 0

• 15

Why is distance always considered positive?

• Because it is a scalar quantity

• Because it can be negative

• Because it is a vector quantity

• Because it is measured in meters

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

• AB + BC = AC

• AB - BC = AC

• AB * BC = AC

• AB / BC = AC

If segment AC is 15 cm and AB is 4 cm, what is the length of BC?

• 11 cm

• 19 cm

• 4 cm

• 15 cm

In the segment addition postulate, if AB is 7 and BC is 8, what is AC?

• 56

• 1

• 15

• 0

Which postulate would you use to find the total length of a segment divided into two parts?

• Distance Postulate

• Segment Addition Postulate

• Angle Postulate

• Ruler Postulate

If the length of segment AB is 10 and segment BC is 5, what is the length of segment AC?

• 20

• 5

• 10

• 15

What is the main concept illustrated by the segment addition postulate?

• The difference of segment lengths

• The sum of angles

• The product of segment lengths

• The sum of segment lengths