The Midpoint of a Line Segment We are going to elevate our study in analytic geometry past slope and intercepts. This will allow us to model more complex.

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Presentation transcript:

The Midpoint of a Line Segment

We are going to elevate our study in analytic geometry past slope and intercepts. This will allow us to model more complex situations

The Midpoint of some line segments can be found by inspection (3,2)

For other lines, we will need a process (3 and a bit, just under 3)

Consider something we know Find the middle of the following pair of numbers 4, 10 ( ) / 2 = 14 / 2 = 7 (the average) We’ll use the same idea for line segments …

Find the average x coordinate (x 1, y 1 ) (x 2, y 2 ) Find the average y coordinate

Formula for the midpoint of a line segment (x,y) = Where (x,y) are the midpoints of the line segment

Find the midpoint. (2,1) (5,4) [(2 + 5)/2, (1 + 4) / 2 = (3.5, 2.5) (3.5, 2.5)