1.03 Segment Partitions and Midpoint

Practice #1 - Midpoint

Find the coordinates of the midpoint of a segment with the given endpoints. Start by substituing the coordinate values into the formula.

A = (x₁, y₁) and B = (x₂,y₂)

The midpoint formula. The average of the x values gives your new x value and the average of your y values gives your new y value: (half the sum of x1 and x2, half the sum of y1 and y2)

half of (-3 plus 5), half of (5 plus -1)

2 over 2,
4 over 2

(1,2)

Find the coordinates of the midpoint of a segment with the given endpoints.

A= (x₁, y₁) and B= (x₂, y₂)
A (3.2, 7.8) and B(3,1)

The midpoint formula. The average of the x values gives your new x value and the average of your y values gives your new y value: (half the sum of x1 and x2, half the sum of y1 and y2)

half of (3.2 + 3), half of (7.8 + 1)

6.2 over 2, 8.8 over 2

(3.1, 4.4)

Video example