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How to Prove That Midpoints Are Equal

In geometry a line is a straight line through two points. The midpoint is a place in the exact middle of the line between the two points. While we assume the midpoint breaks the line into two equal parts, we need to perform a math equation to prove it. This is basic Euclidean geometry that is taught to 8th and 9th graders in the U.S.

Instructions

    • 1

      Set variables for each side of the line. Call one point "A" and the other point "B."

    • 2

      Set a variable for the midpoint of the line. Call the midpoint "M."

    • 3

      Create a formula for the variables that proves the midpoint is equal. The formula will look like this:

      AM + BM = AB

      This proves that the midpoint is equal.

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