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Hippocrates' Quadrature of the Lune

1. Which is a geometric concept that humans have been aware of since the dawn of agriculture?
(a) Area.
(b) Gravity.
(c) Metric system.
(d) Volume.

2. That properties of specific shapes were early Egyptians aware of?
(a) Right triangles.
(b) Pi and the diameter of a circle.
(c) Parallelograms.
(d) Irregular solids.

3. Who was the first of ancient philosophers to consider why geometric properties existed?
(a) Hippocrates.
(b) Thales.
(c) Aristotle.
(d) Pythagoras.

4. What does the Pythagorean Theorem state?
(a) For any triangle the sqaured sum of the legs is equal to half the hypotenuse.
(b) For any triangle the sum of the legs squared is equal to the length of the hypotenuse.
(c) For any right triangle the diagonal side is equal to the sum of the legs.
(d) For any right triangle the square of the diagonal side is equal to the sum of the squares of the two legs.

5. What did the Pythagorean Theorem accomplish for mathematics?
(a) The ability to find square roots.
(b) The ability to measure angles.
(c) The concept of constructing useful mathematics.
(d) The concept of providing a logical proof.

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