The midpoint rule

This video tutorial explains how to find the midpoint of a line segment. It begins with examples of line segments parallel to the x-axis and y-axis, demonstrating how to calculate midpoints in each case. The tutorial then derives a general formula for finding the midpoint of any line segment, using algebraic expressions. The video concludes with a challenge to apply the midpoint rule to divide an object into three equal parts.

What is the x-coordinate of the midpoint for a line segment with endpoints at (2, 4) and (6, 4)?

• 5

• 4

• 3

• 6

If a line segment is parallel to the y-axis with endpoints at (2, 2) and (2, 6), what is the y-coordinate of the midpoint?

• 5

• 3

• 4

• 2

For a line segment with endpoints (1, 2) and (5, 6), what are the coordinates of the midpoint?

• (3, 5)

• (4, 5)

• (3, 4)

• (2, 3)

What is the general formula for finding the x-coordinate of the midpoint of a line segment with endpoints (x1, y1) and (x2, y2)?

• (x1 + x2) / 2

• y1 + y2

• (y1 + y2) / 2

• x1 + x2

How can the midpoint formula be applied to divide an object into three equal parts?

• By finding two midpoints

• By using the midpoint twice

• By calculating the average of three points

• By using the midpoint and another point