Segment Lengths and Notation

This video tutorial introduces the segment addition postulate, explaining it as a basic mathematical rule used to determine the length of a segment by summing its parts. The tutorial includes four examples of increasing complexity, demonstrating how to apply the postulate in different scenarios, including basic addition, finding missing segments, and using algebra to solve for unknown lengths. The video emphasizes the importance of checking solutions for reasonableness and provides a step-by-step approach to solving each example.

What is a postulate in mathematics?

• A complex equation

• A mathematical hypothesis

• A proven theorem

• A rule accepted without proof

What does the Segment Addition Postulate state?

• A segment is equal to the sum of its parts

• A segment is equal to the product of its parts

• A segment is equal to the quotient of its parts

• A segment is equal to the difference of its parts

How do you denote the length of a segment AC?

• AC with a line over it

• AC without a line over it

• A with a line over it

• C with a line over it

In Example 1, what is the length of segment AC if AB is 7 cm and BC is 9 cm?

• 17 cm

• 16 cm

• 15 cm

• 14 cm

In Example 1, what is the sum of the segments AB and BC?

• 16 cm

• 18 cm

• 15 cm

• 17 cm

In Example 1, what is the length of segment BC?

• 7 cm

• 8 cm

• 10 cm

• 9 cm

In Example 1, what is the length of segment AB?

• 7 cm

• 6 cm

• 8 cm

• 9 cm

In Example 1, what is the length of segment BC?

• 9 cm

• 8 cm

• 7 cm

• 10 cm

In Example 1, what is the length of segment AB?

• 9 cm

• 8 cm

• 7 cm

• 6 cm

In Example 1, what is the length of segment BC?

• 8 cm

• 7 cm

• 10 cm

• 9 cm