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How to Find the Missing Side of a Congruent Figure

If two or more figures share the same exact measurements for all corresponding sides and angles, they are said to be "congruent." A common problem on middle school, high school or college geometry tests or quizzes is to find a missing side when comparing two congruent figures. You can determine the length of the shape's missing side by using the measurements of the other figure as a reference point.

Instructions

    • 1

      Match the corresponding sides of the figures. This is easy if the figures are drawn the same exact way. However, figures are often flipped in a different direction. In this case, you can trace one figure onto a separate sheet of paper and turn or flip it as needed until it matches the first figure.

    • 2

      Find the missing side on the figure and compare it to the corresponding side on the congruent figure.

    • 3

      Write down the measurement from the reference figure as the measurement for the missing side of the other figure. For instance, consider a triangle with its sides labeled as 2 inches, 3 inches and 5 inches. If you have a second triangle that is congruent, its longest side will be 5 inches. The next longest side will be 3 inches, and the shortest side will be 2 inches.

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