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How to Make Conjectures in Geometry

Geometry, like other branches of math, is built on logical conclusions arrived at through testing. Numbers and measurements work the same way every time they are used in a certain way. In geometry, conjectures allow you to predict the behavior of angles, line segments and other types of figures. A conjecture is a mathematical hypothesis or educated guess. Creating your own conjectures in geometry may enable you to solve problems more quickly.

Things You'll Need

  • Protractor
  • Ruler
  • Compass
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Instructions

    • 1

      Determine the question you want to answer with your conjecture. For example, assume you want a quick way to measure alternate angles formed by intersecting lines.

    • 2

      Create three hypothetical examples to measure. In the example, you would draw three pairs of intersecting lines.

    • 3

      Take all necessary measurements and record your results. In the example, you will find that opposite angles will always be equal, and adjacent angles formed will always be supplementary or add to 180 degrees.

    • 4

      Form your conjecture by using precise wording. The example is the Vertical Angles Conjecture: "Two vertical angles will have equal measurements."

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