Textbook
1. Introduction
2. Algebra
3. Geometry
3.1 General
3.2 Similarity
3.3 Circles
3.4 Triangles
3.5 Cyclic quadrilaterals
3.6 Other quadrilaterals and polygons
3.7 3-D geometry
4. Number theory
5. Probability
6. Combinatorics
7. What's next?
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3.6 Other quadrilaterals and polygons
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3. Geometry

Other quadrilaterals and polygons

Other quadrilaterals and polygons

Back to basics: this unit is about the basic stuff that everyone supposedly knows:

  • Do you know the area formulas for all common quadrilaterals?
  • Can you easily work out the angles of arbitrarily large regular polygons?
  • How about counting their diagonals?

Examples

Example

What’s the measurement of the interior angle of a -gon?

(spoiler)

If you used the formula, then you get full credit. Good enough.

But if you also wanted style points for cleverness, then you divided the sum of the exterior angles (always ) by to get that the exterior angles measure each, and thus the interior angles measure each.

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