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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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