Thursday, October 06, 2005

Finding Midpoint of a Segment between 2 Points

Given 2 points

(a,b) and (c,d)

use this formula to find the midpoint of the segment between the two points.

x-value of the midpoint: (a+c)/2

y-value of the midpoint: (b+d)/2

Note: Each of these needs to be calculated separately and then put into a coordinate point.

Midpoint: ((a+c)/2,(b+d)/2)


Example:
Find the midpoint between the points A(-12,20) and B(5,-18)

x-value of the midpoint = (-12+5)/2
x-value of the midpoint = (-7)/2
x-value of the midpoint = -3.5

y-value of the midpoint = (20+-18)/2
y-value of the midpoint = (2)/2
y-value of the midpoint = 1

Midpoint: (-3.5,1)

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