Exploring 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 goals of the lesson?

• To explore the ruler postulate and the midpoint formula

• To understand the ruler postulate and the segment addition postulate

• To study the segment addition postulate and the area of a circle

• To learn about the ruler postulate and the Pythagorean theorem

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

• By adding the coordinates of the two points

• By dividing the coordinates of the two points

• By multiplying the coordinates of the two points

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

In the ruler postulate example, what is the distance between points 8 and 23?

• 31

• 15

• 23

• 8

Why is the distance always positive in the ruler postulate?

• Because distance is a scalar quantity

• Because we multiply the coordinates

• Because we always add the coordinates

• Because we take the absolute value of the difference

What is the purpose of using the absolute value in the ruler postulate?

• To find the midpoint

• To ensure the distance is always positive

• To convert the distance to a different unit

• To make the calculation easier

If you live 5 miles from school, how far is the distance when you return home?

• 10 miles

• 0 miles

• Depends on the route

• 5 miles

What does the segment addition postulate state?

• The length of a segment is the difference of the lengths of its parts

• The length of a segment is the sum of the lengths of its parts

• The length of a segment is the product of its parts

• The sum of the lengths of two segments is always zero

If segment AC is 15 cm and point B is between A and C, what is the length of AB if BC is 11 cm?

• 7 cm

• 15 cm

• 11 cm

• 4 cm

In the segment addition postulate, if AB is 4 cm and BC is 11 cm, what is the length of AC?

• 7 cm

• 15 cm

• 4 cm

• 11 cm

What is the length of segment BC if AC is 15 cm and AB is 4 cm?

• 4 cm

• 11 cm

• 19 cm

• 15 cm