Ask Dr. Math

High School Archive

Browse High School Euclidean/Plane Geometry
Stars indicate particularly interesting answers or good places to begin browsing.

Selected answers to common questions:
    Classifying quadrilaterals.
    Pythagorean theorem proofs.

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Why Proofs? Definitions and Axioms [09/16/2001]

Why are proofs important in the development of a mathematical system like geometry?

Why Was Pi Invented? [04/10/2003]

What is pi good for?

Wood Flooring [08/09/1997]

Estimating the number of linear feet in 1 sq. ft., making wood flooring 3.25 inches wide, producing 5,000 sq. ft. per day.

World War II Window Blackout [10/21/2001]

Mr. Brown had a square window 120cm x 120cm, but the only material he could find was a sheet of plywood 160cm x 90cm; same area, different shape. He drew some lines and cut out just two congruent shapes, which he joined to make a square of the correct size. How did he do it?

Writing a Proof [05/16/2001]

Is there a certain way I should go about writing a proof?

Yes, a Graph Can Touch an Asymptote [06/08/2006]

Is it true that the graph of a function can never touch an asymptote?

Zero Degree and 360 Degree Angles [10/22/2003]

I am curious if there is such a thing as a zero degree angle, and if so, what does it look like? I am also wondering if a zero degree angle equals a 360 degree angle? I understand that a 360 degree angle is essentially a circle, or the amount of 'turn' that equals a circle. I am pondering how you would draw a 360 degree angle?

Zooming Rectangles [05/11/2005]

What is the math behind zooming rectangles?

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