Midpoint
Definition of Midpoint
Midpoint of a line segment is the point that is halfway between the endpoints of the line segment.
More About Midpoint
 A line segment has only one midpoint.
 If AB is a line segment and P is the midpoint, then AP = BP = .
 In twodimensional coordinate plane, the midpoint of a line with coordinates of its endpoints as (x1, y1) and (x2, y2) is given by
Examples of Midpoint

In the above figure, length of is 15 cm and distance of C from both the endpoints A andB is 7.5 cm. So, C is the midpoint of
Video Examples: How To Find The Midpoint Using The Midpoint Formula
Solved Example on Midpoint
Ques: is a line segment with end points A ( 2,  4) and B (4,  4). Find the coordinates of the midpoint of .
Choices:
A. (1,  4)B. ( 1, 4)
C. (1, 4)
D. ( 1,  4)
Correct Answer: A
Solution:

Step 1: The end points are A ( 2,  4) and B (4,  4).
Step 2: Let the mid point be C (x, y).
Step 3: The coordinates of C are ( 2 + 42,  4  42). [Use midpoint formula.]
Step 4: So, the coordinates of the midpoint are (1,  4).
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