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Here are various selected topics related to Geometry and Trigonometry

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A proof that of rectangles that have a given area, the square has the smallest perimeter.

A method for finding equations of lines that pass through points, have certain slopes, or are either parallel or perpendicular to other lines.

This one is really neat: Can you find an algorithm to tell whether a given point is inside or outside of a given triangle?  It's surprisingly hard to do, but surprisingly simple once it's done.  Check it out!

Internet references

Math League: geometry (Basic terms, Angles and angle terms, Figures and polygons, Area and perimeter, Coordinates and similar figures, Space figures and basic solids)

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The webmaster and author of this Math Help site is Graeme McRae.