Geometry Warmups


The universe cannot be read until we have learnt the language and become familiar with the characters in which it is written. It is written in mathematical language, and the letters are triangles, circles and other geometrical figures, without which means it is humanly impossible to comprehend a single word. - Galileo Galilei

Even the most basic concepts in geometry apply to a myriad of applications. For example, the inclination of a hill, the maximum tilt of a space shuttle before launch, and the path of a pool ball when it bounces off the side can all be expressed in terms of an angle. The tools of geometry are essential for understanding and problem-solving whenever a diagram or visual model applies.

If you’re just beginning to use Brilliant as a way to improve your mathematical prowess, here’s the essence of the Brilliant approach: solve problems. Here are some quick tips for strengthening your geometric problem-solving skills:

  • Draw out the geometric diagram
  • Use known relationships about angles, especially in regular polygons.
  • Recognize special shapes like isosceles triangles, equilateral triangles or parallelograms, and use their properties.
  • If you're stuck at one part, zoom out and look at the big picture.

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