Geometry proofs

Some of the most important geometry proofs are demonstrated here. I will provide you with solid and thorough examples.




Observations, measurements, and experimentations are not proof

If a formula works for 1 million specific examples, this is still not a proof

Understanding a proof can be a daunting task. Writing a proof can even be more daunting

I kept the reader(s) in mind when I wrote the proofs outlines below.

My approach is to explain everything at the same time I am writing the proof

If you are interested in proofs, you will find the proofs below a pleasure to read


Area of shapes proofs



Proof of the area of a circle
Here, we prove that the area of a circle is pi × r2 by inscribing circles into polygons

Proof of the area of a triangle
A crystal clear proof of the area of a triangle. We will know why it makes sense to multiply the base by the height and divide the result by two.

Proof of the area of a parallelogram
Here, we prove that the area of a parallelogram is base times height by turning a parallelogram into a rectangle.

Proof of the area of a trapezoid
Here, we prove that the area of a trapezoid is the average of the two parallel bases times the height by turning a trapezoid into a rectangle.


Proofs related to triangles



Proof of the angle sum theorem
A crystal clear proof of the angle sum theorem.

Triangle inequality theorem proof
A crystal clear proof of the triangle inequality theorem.

Base angles theorem proof
A crystal clear proof of the base angles theorem.

Right isosceles triangle
Prove that the median of a right isosceles triangle is half the hypotenuse




Proofs related to angles



Vertical angles theorem proof
See a proof of the vertical angles theorem.




Buy a comprehensive geometric formulas ebook. All geometric formulas are explained with well selected word problems.





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