The video tutorial explains the concept of directed line segments and how to partition them into specific ratios. It covers the vocabulary related to directed line segments and demonstrates the process of finding a point that divides a segment into given ratios, such as 2:1 and 3:7. The tutorial includes examples with step-by-step calculations of rise and run to determine the coordinates of the dividing point.

What is a directed line segment?

• A line that extends infinitely in both directions

• A segment with no endpoints

• A segment with a specified direction between two points

• A line with no direction

What does it mean to partition a directed line segment?

• To extend the segment infinitely

• To remove one endpoint of the segment

• To divide the segment into two segments with a given ratio

• To divide the segment into two equal parts

In the 2:1 ratio example, what is the first step in partitioning the segment?

• Find the midpoint of the segment

• Extend the segment

• Calculate the rise and run of the segment

• Draw a perpendicular bisector

How do you calculate the rise in the 2:1 ratio example?

• By measuring the horizontal distance

• By measuring the vertical distance

• By adding the coordinates of the endpoints

• By subtracting the coordinates of the endpoints

What is the rise in the 2:1 ratio example?

• 4 units

• 6 units

• 3 units

• 10 units

What is the run in the 2:1 ratio example?

• 20 units

• 6 units

• 9 units

• 10 units

What is the purpose of drawing a right triangle in the examples?

• To extend the segment

• To find the midpoint

• To calculate the rise and run

• To draw a perpendicular bisector

How far is point Q from point R in the 2:1 ratio example?

• 4 units down and 6 units right

• 6 units down and 4 units right

• 3 units down and 7 units right

• 7 units down and 3 units right

In the 3:7 ratio example, what is the first step in partitioning the segment?

• Extend the segment

• Calculate the rise and run of the segment

• Find the midpoint of the segment

• Draw a perpendicular bisector

What is the ratio of the segment division in the second example?

• 7:3

• 1:2

• 2:1

• 3:7