GSE Geometry Name______________________
Midpoint Formula
Ratio of partition is 1:1 because line is split right down the middle
Steps to find coordinate of midpoint: Example 1: Given two endpoints of a segment, find the Midpoint
- Label x1, y1, x2, and y2 of the segment (-5, 8) and (4, -2)
- Plug values into formula
- Calculate each part separately
- State your answer as an ordered pair (x, y)
Steps to find coordinate of endpoint Example 2: Find point B so that point M is the midpoint of segment
- Label x1, y1, x2, and y2 AB. A(-2, 6), B(x , y) and Midpoint = (2, 2)
- Plug values into formula
- Write out each part separately
- Solve for x in the 1st equation and
y in the 2nd equation
Find the midpoint of the line segment with the given endpoints.
1) (5, 9), (-1, XXXXXXXXXX, -9), (0, XXXXXXXXXX, 2), (2, XXXXXXXXXX, -11), (-9, 0)
5) Find the coordinates of point F (x, y) such that B is (3, 5) and the midpoint of BF is (-4, 6)