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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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