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How to Find the Midpoint of a Parallelogram

All two-dimensional polygons are made up of line segments on a plane. A parallelogram is made up of two sets of parallel lines, two of which meet at obtuse angle and two that meet at acute angles. Since a parallelogram is on a plane, it has coordinates for each of its angles. These coordinates are how you find the midpoint, or the middle of the parallelogram.

Instructions

    • 1

      Locate the coordinates of the all four angles on the parallelogram. Let's call the angles A, B, C and D. Example coordinates are: A (2,2), B (7,1), C (5, -2) and D (0, -1).

    • 2

      Add the opposite angles together. In this case you would add A + C and B + D. For example: A and C: 2+5=7, 2+-2=0 and B and D: 7+0=7, 1+-1=0.

    • 3

      Divide the answers by 2. For example: A and C: 7/2=3.5, 0/2=0 and B and D: 7/2=3.5, 0/2=0. So, the values for A and C are 3.5 and 0, the same as the values for B and D.

    • 4

      Plot those points on your plane to find the midpoint of the parallelogram. So, in the example, the midpoint is 3.5, 0.

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