Trisection of a Line Segment

The video tutorial explains how to find the points that trisect a line segment between two given points on a coordinate plane. It involves calculating the changes in x and y coordinates, dividing these changes by three, and using these values to determine the coordinates of the trisection points. The process is verified by plotting the points on the coordinate plane.

What is the main objective of the problem discussed in the video?

• To find the midpoint of a line segment

• To find the length of a line segment

• To bisect a line segment into two equal parts

• To trisect a line segment into three equal parts

What is the first step in finding the trisection points of a line segment?

• Calculate the midpoint of the segment

• Find the slope of the line

• Determine the change in x and y coordinates

• Draw the line segment on a graph

How do you calculate the change in x from point A to point B?

• Subtract the x-coordinate of A from B

• Add the x-coordinates of A and B

• Divide the x-coordinate of A by B

• Multiply the x-coordinates of A and B

What is the x-coordinate of the first trisection point, P1?

• 3/3

• 1/3

• 2/3

• 4/3

What is the y-coordinate of the first trisection point, P1?

• 1/3

• 4/3

• 2/3

• 3/3

How do you find the coordinates of the second trisection point, P2?

• By dividing the coordinates of P1 by 2

• By adding the changes in x and y to the coordinates of P1

• By subtracting the changes in x and y from the coordinates of P1

• By multiplying the coordinates of P1 by 2

What is the x-coordinate of the second trisection point, P2?

• 8/3

• 10/3

• 4/3

• 6/3

What is the y-coordinate of the second trisection point, P2?

• 6/3

• 7/3

• 5/3

• 8/3

Why is it helpful to convert the coordinates into mixed numbers when plotting?

• It simplifies the equation of the line

• It is required for accurate plotting

• It helps in visualizing the position on the graph

• It makes calculations easier

What is the final step in verifying the trisection points?

• Plot the points on the coordinate plane

• Check the calculations

• Recalculate the changes in x and y

• Compare with another method