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**1. Which is a geometric concept that humans have been aware of since the dawn of agriculture?**

Area.

**2. That properties of specific shapes were early Egyptians aware of?**

Right triangles.

**3. Who was the first of ancient philosophers to consider why geometric properties existed?**

Thales.

**4. What does the Pythagorean Theorem state?**

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?**

The concept of providing a logical proof.

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