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 = Examples of Midpoint .
  • In two-dimensional coordinate plane, the midpoint of a line with coordinates of its endpoints as (x1, y1) and (x2, y2) is given by Examples of Midpoint

Examples of Midpoint

    Examples of Midpoint
    In the above figure, length ofExamples of Midpoint is 15 cm and distance of C from both the endpoints A andB is 7.5 cm. So, C is the midpoint ofExamples of Midpoint

Video Examples: How To Find The Midpoint Using The Midpoint Formula


Solved Example on Midpoint

Ques: Examples of Midpoint is a line segment with end points A (- 2, - 4) and B (4, - 4). Find the coordinates of the midpoint of Examples of Midpoint .

    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 mid-point formula.]
    Step 4: So, the coordinates of the midpoint are (1, - 4).