Exploring Ruler and Segment Addition Postulates

The video tutorial covers the ruler postulate and segment addition postulate. It begins with an introduction to the ruler postulate, explaining how to calculate the distance between two points on the x-axis using absolute values. The tutorial provides examples to demonstrate the application of the ruler postulate. It then transitions to solving problems using absolute value equations, illustrating how to find unknown points given a total distance. Finally, the segment addition postulate is introduced, with examples showing how to calculate the length of segments when points are collinear.

What is the Ruler Postulate used for?

• Measuring the angle between two lines

• Determining the slope of a line

• Calculating the distance between two points on a line

• Finding the midpoint of a segment

If point A is at 9 and point B is at 5, what is the distance AB using the Ruler Postulate?

• 9

• 5

• 4

• 14

What happens if you reverse the points in the Ruler Postulate formula?

• The distance doubles

• The distance remains the same

• The distance becomes negative

• The distance becomes zero

Find the distance AB if A is 3 and B is 17.

• 7

• 4

• 20

• 14

If B is at 5 and AB is 10, what are the possible positions of A?

• 10 and 0

• 5 and -5

• 15 and -5

• 20 and -10

What is the Segment Addition Postulate used for?

• Measuring the angle between two lines

• Calculating the total length of a segment by adding the lengths of its parts

• Determining the slope of a line

• Finding the midpoint of a segment

If DE is 6 and EF is 9, what is the total length DF?

• 9

• 6

• 12

• 15

If DF is 10 and EF is 4, what is the length of DE?

• 6

• 4

• 10

• 14

If DE is 5 and DF is 9, what is the length of EF?

• 9

• 14

• 5

• 4

If DE and EF are equal and their total length DF is 15, what is the length of each segment?

• 7.5

• 15

• 5

• 10